The Temple Owls football team will have a match with Duke on September 2, 2022. Suppose that Temple has a 40% chance of winning the game. College football games cannot end in a tie.
a. What is the random variable associated with this game? [1 point]
b. What is the mutually exclusive event in this case? [1 point]
c. Construct a well-labeled probability distribution table based on the outcomes of this game. [2 points]

Answers

Answer 1

In statistics and probability theory, a random variable is a variable that takes on different values based on the outcome of a random event or experiment. It represents a numerical outcome associated with a particular event or outcome of interest.

a) The random variable associated with this game is the number of wins the Temple Owls football team obtains. The number of wins that the team can get is a discrete random variable.

b) The mutually exclusive event in this case is that either the Temple Owls team wins or Duke wins. There is no overlap between these two events.

c) The probability distribution table is as follows: xP(x)0.6 1-0.42 0.4

The above probability distribution table is well-labeled. The outcomes in the first column and the respective probabilities associated with the Temple Owls football team winning in the second column.

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Answer 2

This gives us a well-labeled probability distribution table based on the outcomes of the game.

a. The random variable associated with this game is the number of possible outcomes. It is denoted by X.

b. In this case, the mutually exclusive event is that Temple will win or Duke will win.

This is because there are only two possible outcomes and only one of them can occur at a time.

c. The probability distribution table of the outcomes of the game is shown below:

OutcomesProbabilityTemple winning 0.4

Duke winning0.6

As stated in the question, college football games cannot end in a tie.

Hence, there are only two possible outcomes of the game, i.e., either Temple wins or Duke wins.

Therefore, the random variable associated with this game is X, the number of possible outcomes.

The mutually exclusive event is Temple winning or Duke winning, which implies that there is no chance of both teams winning or the game ending in a tie.

The probability of Temple winning is 0.4, while the probability of Duke winning is 0.6.

The probabilities add up to 1, which means that one of these events must occur.

This gives us a well-labeled probability distribution table based on the outcomes of the game.

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Related Questions

(t+8)^3
i want you to solve this

Answers

[tex]( {t + 8})^{3} = {t}^{3} + 3 \times ({t})^{2} \times( 8) + 3 \times (t) \times ( {8})^{2} + {8}^{3} \\ [/tex]

So :

[tex] ({t + 8})^{3} = {t}^{3} + 24 {t}^{2} + 192t + 512[/tex]

Nelson LLC, has earnings before interest and taxes of €10,350 and net income of €2,528.50. The tax rate is 25%. What is the interest coverage ratio (times interest earned)?
A) 0.62
B) 0.96
C) 1.04
D) 1.48

Answers

The interest coverage ratio (times interest earned) for Nelson LLC is approximately 1.04, option C.

The interest coverage ratio is calculated by dividing earnings before interest and taxes (EBIT) by the interest expense. EBIT represents the operating income of the company before deducting interest and taxes.

Given the values:

EBIT = €10,350

Net Income = €2,528.50

Tax Rate = 25%

To calculate the interest expense, we subtract the net income from the EBIT and multiply it by (1 - tax rate):

Interest Expense = (EBIT - Net Income) × (1 - Tax Rate)

= (€10,350 - €2,528.50) × (1 - 0.25)

= €7,821.50 × 0.75

= €5,866.12

Now, we can calculate the interest coverage ratio by dividing EBIT by the interest expense:

Interest Coverage Ratio = EBIT / Interest Expense

= €10,350 / €5,866.12

≈ 1.04

Therefore, the interest coverage ratio for Nelson LLC is approximately 1.04, indicating that the company's earnings before interest and taxes are 1.04 times greater than its interest expense.

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in anova, the linearity assumption is assessed using a qq-plot of the residuals. t/f

Answers

False, the linearity assumption in ANOVA is not assessed using a QQ-plot of the residuals.

The linearity assumption in ANOVA refers to the assumption that the relationship between the independent variable(s) and the dependent variable is linear. This assumption is typically assessed by examining the residuals (the differences between the observed values and the predicted values) of the model. However, a QQ-plot is not specifically used to assess linearity.

A QQ-plot is commonly used to assess the assumption of normality in the residuals, which is another important assumption in ANOVA. It helps to visually compare the distribution of the residuals against a theoretical normal distribution. The linearity assumption is typically evaluated through other diagnostic plots, such as scatterplots of the residuals against the predicted values or the independent variable(s).

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PLEASE HELPP !!! it’s due today

Answers

Answer:

18

Step-by-step explanation:

HELP LeShana loaned Deena $480. Deena paid the money back with a simple interest of 5% at the end of 2 years. How much money did Deena pay back?

Answers

Answer:

FV= $528

Step-by-step explanation:

Giving the following information:

Loan (P)= $480

Number of years (n)= 2 years

Simple interest (i)= 5% per year

To calculate the amount of money that Deena paid is calculated using the following formula:

FV= P*r*t + P

FV= 480*0.05*2 + 480

FV= $528

please help me with this one

Answers

Answer:

A: 112 cubic inches

Step-by-step explanation:

A = l*w*h/3 = (6*8*7)/3

A = 336/3

8[x-y] use x=5 and y=2

Answers

Answer:

24

Step-by-step explanation:

Plugin the value of x and y

8[x + y] = 8*[5 - 2]

            = 8 *3

            = 24

Answer:

24

Step-by-step explanation:

8(5-2)

5-2=3

8 times 3=24

plz can i get brainliest:)

What is the probability that either event will occur?
5
A
B
35 5, 10
P(A or B)=P(A) + P(B) - P(A and B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.

Answers

Answer:

P(A or B) = 1 - P(neither A nor B)

= 1 - 5/55 = 1 - 1/11 = 10/11

= about .91 = about 90.91%

Answer:

Step-by-step explanation:

Help please me thanks​

Answers

Answer: Option one a+12

Answer:

option 1:a+12

Step-by-step explanation:

add 12 to a

PLEASE HELP URGENT!! DONT LINK FILES!!! HELP!!



The face of triangular-shaped guitar has an area of 52 square inches and the height of 13 inches. What is the length
of the guitar?

Answers

Answer:

Base = 8

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = 0.5 x Base x Height

The values of the area and the height are given in order to find the length.

A= 52 in^2

Height= 13

First we have to find the base or the length. Using the values above we can set up the equation as:

1. 52= (0.5)(13)(b)

2. 52/0.5(13)

3. b=8

Answer: The length of the guitar or the base would be 8 inches.

I hope this helps and for future problems regarding this topic use the formula above!!

Formula: 0.5 x Base x Height

Help please fast and don’t say files

Answers

Answer: H.

Explanation: Graph H is the only graph with the line point to less than or equal to -5

Which value of t makes the two matrices inverses of each other?

Answers

Answer:

C) 2

Step-by-step explanation:

I got it right on Edge 2021

The reason is that you can see that on the first matrix a and d are the same number, meaning that a and d on the second matrix need to be the same as well.  Brainliest please :)

Ignore grammar and spelling mistakes

Answer: 2

Step-by-step explanation:

PLEASE HELP! I need this asap

Answers

Answer:

5.17

Step-by-step explanation:

just at 10 pecent

Answer:

I think that the third one is the correct answer , $4.94 i mean .

What’s the area?? There’s a picture

Answers

Answer:

A= 12 Ft^2

Step-by-step explanation:

Reminder the Area formula is A=B(Base) times H(Height).

Take The base (6) and the Height (6) then multiply.

Hence, the reason is 12 Ft squared.

A college surveys local businesses about the importance of students as customers. The college chooses 150 businesses at
random from telephone listings. Of these, 68 return the questionnaire. The population being studied is:

A. The set of all local businesses

B. The 68 businesses who returned surveys

C. The 150 businesses who were sent surveys

D. All the students at the college

Answers

The proportion of businesses who did not respond = 54.67%

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

82/150 x 100

54.67%

From a horizontal distance of 80.0m the angle of elevation to the top of the flagpole is 18 degrees calculate the height of the flagpole





Answers

Answer:

The figure is omitted--please sketch it.

Set your calculator to Degree mode.

tan(18°) = h/80

h = 80tan(18°) = about 25.994 feet

The height of the flagpole is about 25.994 meters (about 26 meters).

Find the equation for the plane through Po(-5, -4,3) perpendicular to the following line. x= -5+t, y= - 4+ 3t, Z= -5t, - 00

Answers

The equation for the plane through the point Po(-5, -4, 3) and perpendicular to the line x = -5 + t, y = -4 + 3t, z = -5t is 3x + 9y - 5z = -64.

To find the equation of a plane, we need a point on the plane and a normal vector perpendicular to the plane. The given point on the plane is Po(-5, -4, 3). To find the normal vector, we can use the direction vector of the given line, which is parallel to the plane. The direction vector is (1, 3, -5). Since the plane is perpendicular to this direction vector, the normal vector of the plane is (-1, -3, 5), which is the negative of the direction vector.

Now we can use the point-normal form of a plane equation. Let (x, y, z) be any point on the plane. The vector from Po to (x, y, z) is given by (x + 5, y + 4, z - 3). We can take the dot product of this vector with the normal vector (-1, -3, 5) and set it equal to zero to get the equation of the plane:

(-1, -3, 5) · (x + 5, y + 4, z - 3) = 0

-1(x + 5) - 3(y + 4) + 5(z - 3) = 0

Simplifying the equation gives us:

-1x - 3y + 5z + 64 = 0

Rearranging the terms, we obtain the equation for the plane: 3x + 9y - 5z = -64.

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Porter read 20% of the Star Wars book. He read 8 pages of the book. Write the number of pages in the Star Wars book

Answers

Answer: 40 pages in total

Explanation: Porter has read 20% of the book and this translates to 8 pages of the book.

20% = 8 pages

Assume the total number of pages is x:

20% * x = 8

0.2x = 8

x = 8 / 0.2

x = 40 pages in total

Answer:

40 pages in the book

Step-by-step explanation:

8/40 = .20

$475 20 for 6 years at 6-% $787 for 3 years at 9% $131 70 for 6 yrs 8 months at 4-%. find the simple interest ​

Answers

The simple interest for each scenario is 1. $171, 2. $212.13, and 3. $35.15.

To calculate the simple interest for each scenario, we can use the formula: Interest = Principal × Rate × Time.

1. For $475 at 6% interest for 6 years:

Principal = $475, Rate = 6%, Time = 6 years.

Interest = 475 × 0.06 × 6 = $171.

2. For $787 at 9% interest for 3 years:

Principal = $787, Rate = 9%, Time = 3 years.

Interest = 787 × 0.09 × 3 = $212.13 (rounded to two decimal places).

3. For $131.70 at 4% interest for 6 years and 8 months (or 6.67 years):

Principal = $131.70, Rate = 4%, Time = 6.67 years.

Interest = 131.70 × 0.04 × 6.67 = $35.15 (rounded to two decimal places).

Therefore, the simple interest for each scenario is:

1. $171

2. $212.13

3. $35.15

What does "simple interest" mean?

Simple interest is a method for figuring out how much interest was paid on an amount of money during a specific time period at a specific rate. Simple interest has a fixed principle amount. Simple interest is a clear-cut and simple method for computing financial interest.

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The correct question would be as

Find the simple interest of each scenario:

1. Principal = $475, Rate = 6%, Time = 6 years.

2. Principal = $787, Rate = 9%, Time = 3 years

3. Principal = $131.70, Rate = 4%, Time = 6.67 years (6 years and 8 months)

Which us better a 12oz for $0.85 or a 8oz for $0.50

Answers

Answer:

Step-by-step explanation:

12 oz is better

25% of what number is 65?

Answers

260 is the correct answer because 65 is twenty percent of 260

PLEASE HELP due in a few hours!!

Answers

Answer:

75 meters²

Step-by-step explanation:

4 cm= 5 m

12 cm= 15 m

15×5=75

Area of Patio=75 m²

Please help! I'm not sure how to do these.

Answers

Answer:

i dont know bro

Step-by-step explanation:

A storage chest is shown. What is the volume in cubic feet?

Answers

Volume/V=length x width x height
So, V=4.5 x 2 x 2
V =18

For the solved question below, I am still unclear on how the PV Factor is figured out. What is the PV Factor formula?

Answers

The PV factor formula is given below: The formula for PV factor is: PV Factor = [1 - (1 + r)⁻ⁿ] / r

where r = discount rate, and n = number of periods.

PV factor can be used to calculate the present value of an annuity. If the amount of each payment and the number of periods are known, the present value of the annuity can be calculated using the following formula:

Present value of annuity = Payment × PV factor.

For example, suppose that you have an annuity that pays $1,000 per year for 5 years.

The discount rate is 8%. We can calculate the PV factor using the formula:

PV factor = [1 - (1 + r)⁻ⁿ] / r= [1 - (1 + 0.08)⁻⁵] / 0.08= 3.9936

The present value of the annuity can be calculated by multiplying the payment by the PV factor:

Present value of annuity = Payment × PV factor= $1,000 × 3.9936= $3,993.6

Therefore, the present value of the annuity is $3,993.6.

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What is the total area of the triangle and the square?

Answers

Answer:

the answer is c or 35x^2 + 210x +315

Step-by-step explanation:

The area of the square is "d" and since it asks for the combined area of the triangle and square it has to be more than that, hope that helps.

Select the 2 moves necessary in the sequence of transformations that produced polygon A from polygon E. *

Answers

There is no image or directions to base this off of

Determine the approximate length of the segment AD *

Answers

Answer:

35/6

Step-by-step explanation:

The right angle triangle ABC which has another triangle BCD, the length of segment AD is,  9.73 cm

What is Pythagoras theorem?

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

Two triangle,

ΔABC and ΔBCD

Side lengths are ,

AC =  19cm

BC  =  8cm

DC  =  11cm

AC² = AB² + BC²

19² = AB² + 8²

AB = 17.23

Another  ΔBCD

11² = DB² + 8²

DB = 7.5

The length of AD =  AB - DB

                             =  17.23 - 7.5

                             =   9.73

Hence, the length of the segment is 9.73 cm

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explain how to multiply 641 by 63.

Answers

Answer:

sure

Step-by-step explanation:

1) line up 641 and 63

   641

x__63_

2) multiply 3 by 1 then 4 then 6 and carry the tenths place number if there is one

  1

  641

x__63_

  1923

3) add a zero under the 3 to hold the ones place and multiply 6 by 1 then 4 then 6 and since we’re working with the tenths place now and dont forget to carry numbers if you need to

     2

     641

  x__63_

     1923

  38460

4) add your two numbers together

    1 1    

    38460

+___1923_

     40383

so that is your answer “40383”

lol sorry that this was so long

Answer:

The answer is 40,383

Step-by-step explanation:

First, you set up the multiplication. 641 is the largest number so it goes on top.   63 is the smallest number so it goes on the bottom. Draw your line. Next, you multiply 3 by 1 which is 3. Then you multiply 3 by 4 and you get 12. Since this is a two digit number, the 2 goes below the line and the 1 you place on top of the 6. Next, you multiply 3 by 6 and get 18, but don't forget the 1 you placed on top! So you get 19. Then you cross out the 1 on top of the 6 and cross out the 3. After you cross out the numbers you add a 0 under the 3 with the number that is under the line. Then you start multiplying 6x1 which is 6. 6x4 which is 24, place the 4 under the line and bring the 2 on top of the 6. Then multiply 6x6 which is 36, add the 2 you brought on top which is 38. After you did all that work, add all the numbers and your answer is 40,383! Hope this made sense and hope it helps! :3

The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance

Answers

Answer:

There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

Step-by-step explanation:

Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78

Using calculator :

Sample mean, xbar = 79.06

Sample standard deviation = 9.85

Sample size, n = 17

H0 : μ = 77

H1 : μ > 77

The test statistic : (xbar - μ) ÷ (s / sqrt(n))

(79.06 - 77) ÷ (9.85 / sqrt(17))

2.06 ÷ (9.85 / sqrt(17))

= 0.8623

The Pvalue from Tscore :

Pvalue = 0.20063

Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

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