> Question A normal distribution is observed from the number of points per game for a certain basketball player. If the mean is 15 points and the standard deviation is 3 points, what is the probability that in a randomly selected game, the player scored greater than 24 points? ​

Answers

Answer 1

Answer:

The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%

Step-by-step explanation:

Given that

Mean = μ = 15 points

SD = σ = 3 points

For calculating probability for a data point, first of all we have to calculate the z-score of the value.

We have to find the probability of score greater than 24, then the z-score of 24 is:

z-score = (x-μ)/σ

z = (24-15)/3

z = 9/3

z = 3

Now we have to use the z-score table to find the probability of z<3 then it will be subtracted from 1 to find the probability of z>3

So,

[tex]P(z<3) = 0.9987\\P(z>3) = 1 - P(z<3) = 1-0.9987 = 0.0013[/tex]

Converting into percentage

0.0013 * 100 = 0.13%

Hence,

The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%

Answer 2

Answer:0.15%

Step-by-step explanation:

Notice that 24 points is three standard deviations greater than the mean. Based on the Empirical Rule, 99.7% of the player's game scores are within three standard deviations of the mean. Since the normal distribution is symmetric, this implies that 0.15% of the player's game scores are greater than three standard deviation more than the mean.


Related Questions

1. A grid shows the position of a subway stop and your house. The subway stop is located at (-10, -1) and your house is located at (-18, -16). What is the distance between your house and the subway stop?
A.17
B.22
C.19
D.15

Answers

I think it would be D since it is between I hope this help if it did mark me






Brainly

I need the correct answer not the wrong answer or the I don’t know answer CORRECT..

Answers

Answer:

6 un

Step-by-step explanation:

2 22= 6

Answer:

1

Step-by-step explanation:

2devided

by 2 =1

The price of a can of beans is raised from 64 cents to 74 cents. Approximately what is the percent of increase in the price of the can of beans?

Answers

Answer:

15.6%

Step-by-step explanation:

The formula for the percent of change is

Original - new/ original

So

(74-64)/ 64 = 0.1562

Make that a percent

15.6%

What’s the slope of the graph? (photo included)
giving out brainliest!

Answers

Answer:

Using the slope formula with points (0,-1) and (-4,4)

Step-by-step explanation:

Step 1: find the points, (0,-1) and (-4,4)

Step 2: Insert plot points into Slope formula: (tip: M means slope)

m(slope)= [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]   ->   m(slope)=[tex]\frac{4-(-1)}{-4-0}[/tex]    

Step 3: Solve:

m(slope)=[tex]\frac{5}{-4}[/tex]

Answer:

Slope is [tex]\frac{5}{-4}[/tex]  

or m = [tex]\frac{5}{-4}[/tex]

OR (if your teacher wants the answer in decimal form rounded to the nearest 10th.) m = -1.3

Which graph shows a set of ordered pairs that represents a function?

Answers

Answer:

2nd Graph

General Formulas and Concepts:

Algebra I

Vertical Line Test - A function's x-values must have only 1 corresponding y-value. If the function fails this test, it is not a function.

Step-by-step explanation:

When we apply the Vertical Line Test to the 1st graph, it does not pass (x = 1). Therefore, the 1st graph is not a function.

When we apply the Vertical Line Test to the 2nd graph, it does pass. Therefore, the 2nd graph is a function.

When we apply the Vertical Line Test to the 3rd graph, it does not pass (x = 2). Therefore, the 1st graph is not a function.

When we apply the Vertical Line Test to the 4th graph, it does not pass (x = -3). Therefore, the 4th graph is not a function.

Answer:

2nd graph is correct

Step-by-step explanation:

A box contains 14 large marbles and 11 small marbles. Each marble is either green or white. 8 of the large marbles are green, and 5 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or green?

Answers

Answer: 19/25.

Step-by-step explanation:

Given data:

Large marbles = 14

Small marbles = 11.

8 large marbles = green.

5 of small marbles = white.

Solution:

If 8 of large marbles are green, therefore the remaining 6 are white.

Likewise for the small marbles the remaining 6 are green marbles.

Total number of marbles = 14 + 11

= 25.

P(small or green) = P(small) + P (green) – P (Both)

= 11/25 + 14/25 – 6/11

= 19/25

Answer:

Answer is 0.7536

Step-by-step explanation:

Large Marbles = 14   Small Marbles = 11

Green LM = 8            Green SM = 6

White LM = 6             White SM = 5

QUESTION:

If a marble is randomly selected from the box, what is the probability that it is small or it is green?

Note the use of "or" and not "and".

SOLUTION:

In this case, the two events - small marble & green marble - are NOT mutually exclusive. This means that sometimes they occur together. We can have a marble that is both small and green!

The formula for this probability is hence

P(A or B) = P(A) + P(B) - P(A and B)

Let A = The event that the selected marble is small

     B = The event that the selected marble is green

Total number of marbles = 14 + 11 = 25

P(A or B) = 11/25  +  (8+6)/25  -  [P(A) × P(B)]

P(A or B) = 11/25  +  14/25  -  [11/25 × 14/25]

               = 0.44  +  0.56  -  0.2464   =  1 - 0.2464  = 0.7536

With 95% confidence, the researcher estimates the mean birth weight of all babies born to women who are over the age of 40 to be between 2935 and 3135 grams. The researcher wants to maintain the 95% level of confidence but report a confidence interval with a smaller margin of error. What should she do

Answers

This question is incomplete, the complete question is;

A medical researcher wants to estimate μ, the mean weight of babies born to women over the age of 40.

The researcher chooses a random sample of 100 pregnant women who are over 40. Using the mean birth weight of the 100 babies in the sample, the researcher calculates the 95% confidence interval for μ.

With 95% confidence, the researcher estimates the mean birth weight of all babies born to women who are over the age of 40 to be between 2935 and 3135 grams.

The researcher wants to maintain the 95% level of confidence but report a confidence interval with a smaller margin of error. What should she do

a) Redo the study and choose a different sample of size 100

b) Redo the study, but this time with a sample size 64

c) Redo the study, but this time with a sample 225

Answer:

Option C) is the correct answer.

C) Redo the study, but this time with a sample 225

Step-by-step explanation:

Given that;

A medical researcher wants to estimate μ, the mean weight of babies born to women over the age of 40.

n = 100

95% confidence interval is given ( 2935, 3135)

But the researcher wants to maintain the 95% level of confidence as well as smaller margin of error.

Therefore we have to reduce the margin of Error

and we know that if the sample size increases, the margin of Error decreases i.e it becomes smaller.

so the best option for the researcher is to redo the study with a larger sample size so the margin of Error becomes smaller.

Option C) is the correct answer.

c) Redo the study, but this time with a sample 225

which inequality is true?

Answers

Answer:

the answer is B

Step-by-step explanation:

Mai has 4 CDs that she is going to give away. She lets her best friend choose 3 of the 4 CDs. How many different groups of 3 CDs are possible?

Answers

You can make 24 different groups of cds

why...WHY..............

Answers

Answer:

because I said so....that's why

Answer:

BECAUSE TEACHERS WANT US TO SUFFER

Step-by-step explanation:

Jackson builds legos at a rate of 3 projects per hour. Write a function that represents the relationship between the amount of Legos built, b, and the number of hours he works, h.

Answers

Answer:b=3h

Step-by-step explanation:

Find f(-5) If f(x) = lx+ 1l.

Answers

the answer would be four

Cans of corn are on sale at 10 for $4. What is the cost of 15 cans

Answers

Answer:$6

10*1.5=15

4*1.5=6

Step-by-step explanation:

Which equation is equivalent to n + 4 = 11? *
O (n +4 × 2 = 11
(n + 4) x 2 = 1112
(n+ 4) x 2 = 1184
O (n+4) x 2 = 11 * 2

Answers

Answer:

(n + 4) *2 = 11 * 2

Step-by-step explanation:

(n + 4) *2 = 11 * 2

Divide both sides by 2

[tex]\frac{(n + 4) *2}{2} = \frac{11 * 2}{2}[/tex]

n + 4 = 11

i think im alright as a person but keeping all these points to get answers from something i gotta do its not alright. but if you want a brainliest answer this question
(Why did 10 not go to thanks giving this year?)

Answers

Answer:

is this a joke or riddle or is this a real question sry?

Step-by-step explanation:

Find the point-slope equation of the line contains (-2,-3) and having slope m=4

Answers

Answer:

y + 3 = 4 x (x + 2)

Step-by-step explanation:

point slope formula is y-y1 = m(x-x1)

slope intercept form is y = 4x + 5

                                       y=mx +b

                                           m=4

four added to twice a number yield 26/5. Find the number.

Answers

Answer:

3/5 is the answer

sry if it's wrong

Answer:

X=3/5

Step-by-step explanation:

Let number=X

Solution

2x+4=26/5

Cross multiply then we get

10x+20=26

10x=26-20

10x=6

X=6/10

X=3/5

So the no is 3/5

The Tigers, a football team, must gain 10 yards in the next four plays to keep possession of the ball. The Tigers lose 24 yards, gain 4 yards, and lose 10 yards. How many yards do they need to keep possession?
40
20
-20
-8

Answers

Answer:

B. The must gain 20 yards to keep possession

Step-by-step explanation:

Let the number of yards gained be positive

Let the number of yards lost be negative

Since the total that must be gained in the next four games is 10, hence the total is +10

If The Tigers lose 24 yards, gain 4 yards, and lose 10 yards in the first three rounds with x being the number of yards in the fourth round, this is expressed as;

-24 + 4 - 10 + x = 10

-20 - 10 + x = 10

-30 + x = -10

x = -10 + 30

x = 20

Hence they need 20 yards in the last round to keep possession

A rocket ship is travelling at an average speed of 1.75 × 104 miles per hour. How many miles will the rocket ship travel in 1.2 × 102 hours?

Answers

Answer:

The rocket ship will travel 2.1 × 10y miles.

Step-by-step explanation:

Which graph is this?

Answers

It is a Parallel graph
A parallel graph I think

Please I need some answers

Answers

Answer:

prime: 17 47 67

Composite: 25 48 99 161 171

25: 1,5,25

48: 1,2,4,6,8,12,24,48

99: 1, 3, 9, 11, 33, 99

161: 1, 7, 23, 16

171: 1,3,9,19,57,171,

And can i please get brainliest and have a good day

what is 52.03 squared?

Answers

Answer:

It is 2707.1209

Step-by-step explanation:

If 12 g of a radioactive substance are present initially and eight years later only 6 g remain, how much of the substance will be present after 11 years

Answers

Answer:

4.083g

Step-by-step explanation:

12 g of a radioactive substance are present initially and eight years later only 6 g remain, how much of the substance will be present after 11 years

Starting with half life, we want to find k.

In a 4 year period, t=8 and A quantity will be reduced to (1/2)*A.

(1/2)= e^k8

In(1/2)

Help and show all work please

Answers

Answer:

all my work is in the picture but srsly pls u should make another question with more points... blank tho :( this took a rlly long time, pls?

Use the picture
KIJ = _______
By ______

Answers

Answer:

first one

Step-by-step explanation:

because they have 2 angles the same and a side by reflexive property

Tickets to a fundraiser are $14 if purchased ahead of time, and $25 if purchased at the door. The total amount raised from all ticket sales was $788. If the number of tickets purchased ahead of time was five less than the number of tickets that were purchased at the door, how many tickets were purchased at the door?

Answers

Answer: 25(11)=275 which is the price of the 11 bought at the door

Find... (look at the picture)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

KJI = KJY + YJI

Thus ;

[tex]168 =( 8x - 4) + (36x - 4)[/tex]

[tex]168 = 8x - 4 + 36x - 4[/tex]

Collect like terms

[tex]168 = 44x - 8[/tex]

Add sides 8

[tex]168 + 8 = 44x - 8 + 8[/tex]

[tex]176 = 44x[/tex]

Divide sides by 44

[tex] \frac{176}{44} = \frac{44}{44} x \\ [/tex]

[tex] \frac{16 \times 11}{4 \times 11} = x \\ [/tex]

[tex]4 = x[/tex]

[tex]x = 4[/tex]

So ;

[tex]YJI = 36x - 4[/tex]

[tex]YJI = 36(4) - 4[/tex]

[tex]YJI = 144 - 4[/tex]

[tex]YJI = 140°[/tex]

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

What is the perimeter of this figure?

Answers

Answer:210. 2/3

you would have to add all the numbers to get the answer even the fractions

Answer:

230.6 or 692/3

Step-by-step explanation:

365/6 + 326/6 + 356/6 + 337/6 = 1384/6 = 692/3 = 230.6

A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation x cubed + 6 x squared minus 27 x = 140 can be used to find x. A bag has a height of x + 9 inches, a width of x minus 3 inches, and a length of x inches. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer. The length is 7 inches, the width is 4 inches, and the height is 16 inches. The length is 5 inches, the width is 2 inches, and the height is 14 inches. The length is 4 inches, the width is 1 inch, and the height is 13 inches. The length is 3 inches, the width is 0 inches, and the height is 12 inches.

Answers

Answer:

B

Step-by-step explanation:

Edge2021

Answer:

B the length is 5 inches

Step-by-step explanation:

width is 2 inches height is 14 inches

Which expression is equivalent to 4 – (-7)
a 7+ 4
b 4 - 7
c-7 - 4
d -4 + 7

Answers

Answer:

A. 7 +4

Step-by-step explanation:

4 -( - 7 )

4 + 7

7 + 4

Answer:

a

Step-by-step explanation:

4 + 7 = 11. subtracting a negative number is the same as adding

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