When conducting research on color blindness in​ males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied.
x P(x)
0 0.669
1 0.278
2 0.048
3 0.004
4 0.001
5 0.000
1. Does the table show a probability distribution?
A Yes, the table shows a probability distribution.
B. No, the random variable x's number values are not associated with probabilities.
C. No, not every probability is between O and 1 inclusive.
D. No, the sum of all the probabilities is not equal to 1.
E. No, the random variable x is categorical instead of numerical.
2. Find the mean of the random variable x.
a. mu = male(s).
b. the table does not show a probability distribution.
3. Find the standard deviation of the random variable x.
a. infinity = male(s).
b. the table does not show a probability distribution.

Answers

Answer 1

Answer:

1. Yes, the table shows a probability distribution.

2. 0.39 males.

3. 0.6082 males.

Step-by-step explanation:

The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given:

A probability distribution is given if the sum of all probabilities is 1.

We have that:

0.669 + 0.278 + 0.048 + 0.004 + 0.001 + 0 = 1

So yes, the table shows a probability distribution.

2. Find the mean of the random variable x.

We multiply each value by its probability. So

[tex]\mu = 0*0.669 + 1*0.278 + 2*0.048 + 3*0.004 + 4*0.001 + 5*0.000 = 0.39[/tex]

The mean is 0.39 males.

3. Find the standard deviation of the random variable x.

Square root of the subtraction squared of each value and the mean, multiplied by its respective probability. So

[tex]\sigma = \sqrt{0.669*(0-0.39)^2+0.278*(1-0.39)^2+0.048*(2-0.39)^2+0.004*(3-0.39)^2+0.001*(4-0.39)^2+0.000*(5-0.39)^2} = \sqrt{0.3699} = 0.6082[/tex]

The standard deviation is of 0.6082 males.


Related Questions

7.25. Horizontal Sight Distance - Around the shed. Just north of town, traffic on 2-lane North 9th enters a righthand curve. Filleen feet to the right of the pavement edge stands a large storage shed. A concerned neighbor is able to pace off the length of the tangent as 196 feet and estimate A as 45 degrees. The lanes are 12 feet wide. A. Using the neighbor's estimates, what is the radius of the horizontal curve

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Sbs she wh sbs she s neighbor snow eke ebaround the shed. 5 = C she e 5=4 ndjebe.

What is the range of the relation in the table below? у -2,0 -1,2 0,4 1,2 2,0​

Answers

Answer:

6

Step-by-step explanation:

Range : hightest number - lowest number

4 - (-2)

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The two questions aren’t there?

Please help ASAP the question is in the picture and please explain why and how u got the answer

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could you show the picture up closer, so i can see?

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known at 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes. Use a = 0.05. The test statistic is a 1.96 b. 1.64 c. 2.00 d. 0.056 The p-value is a. 0.0456 b. 0.0482 c. 0.4772 d. 0.9759 e. 0.9772 At the 5% level, you a. fail to reject the null hypothesis b. reject the null hypothesis

Answers

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: [tex]H_{0} = 3[/tex]

Alternate: [tex]H_{a} = 3[/tex]

The test-statistic is given by:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that [tex]n = 100[/tex]

3 tested at the null hypothesis

This means that [tex]\mu = 3[/tex]

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that [tex]X = 3.1[/tex]

The population standard deviation is known at 0.5 minutes.

This means that [tex]\sigma = 0.5[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}[/tex]

[tex]z = 2[/tex]

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

Please help


















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Answers

Answer:

Left side: 1/20  Right side: 11/20

:)

what is 37.13 + 21.03 =

Answers

Answer:

58.16

Step-by-step explanation:

is the answer

easy question

What is the lateral surface area of the square pyramid represented by this net?
Enter your answer in the box

__ft² ​

Answers

The surface area is 340ft^2

Answer:

240ft

Step-by-step explanation:

took test

IXL box plots for 6th grade
PLEASE HELP ASAP IM DIEING HERE

Answers

Answer:

IQR = 8

Step-by-step explanation:

IQR is the difference between the 3rd quartile (12 in this case) and the 1st quartile (4 in this case)

Which is the equation of the line that passes through the points (4, 3) and (6, 2)?

Answers

Answer:

answer is c hope this helps

Step-by-step explanation:

Paula ran 24 ft with the football and then passed it 15 feet to Newt. Newt ran 70 yards for a touchdown. What was the total number of feet the ball traveled?

Please tell me how you did it and give me the problem on how u did it

Answers

Answer:

249 ft

Step-by-step explanation:

70yd=210 ft   so  210+15+24=249

Answer:

249 ft

Step-by-step explanation:

24 + 15 = 39

39/3 = 13

13 + 70 = 83

83 * 3 = 249

HELP BRAINLY, I NEED HELP WITH THESE QUESTIONS!
(05.05 LC)
A right rectangular prism is shown.

What shape best describes the cross-section cut at an angle to the base of a right rectangular prism? (1 point)

Trapezoid
Parallelogram
Square
Rectangle
10.
(05.05 MC)
Find the area of a triangle with a base length of 3 units and a height of 4 units. (1 point)

3 square units
6 square units
7 square units
8 square units
11.
(05.05 MC)
Erin covered a box with contact paper. The dimensions of the box are shown in the figure below:

A rectangular prism is shown. The length of the rectangular prism is labeled as 11 inches, the height is labeled as 9 inches and the width is labeled as 8 inches.
The contact paper costs 8¢ per square inch. She will only pay for the contact paper used to cover the box, even if there is waste or extra. How much money did Erin spend on the contact paper? (1 point)

$20.72
$41.44
$48.12
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Answers

Answer:

For the first one its parallelogram

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Answers

Answer:

1) Since 4(5+x) is 4*5+4*x, and because 4*5+4*x is

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7) 1/5x-2
8) 2/3x+1
Those are the equations in standard (slope-intercept) form.

On September 1, 2012, Ramos Inc. approved a plan to dispose of a segment of its
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estimated gain of $375,500. The segment had actual and estimated operating profits
(losses as follows):
Please prepare answers to the following questions. Assume a marginal tax rate of 35%
● Realized loss from 1/1/12 to 8/31/12 …….... $ 200,000
● Realized loss from 9/1/12 to 12/31/12 ……...$ 135,000
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Calculate the amount of income that should be shown on the 2013 income statement
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Good evning
Always be happy
God bless yu and yur family❣️

Is (3,6) a solution of the system of linear equations below? Justify your response. Use of the graph is optional.

-6x + y= -12

X + y= -3

Answers

Answer:

No.

Step-by-step explanation:

The given system of equations are :

-6x + y= -12 ......(1)

x + y= -3 ......(2)

Put x = 3 and y = 6 in both equations i.e.

-6(3) + (6) = -12

And

3 + 6 = 9 ≠  -3  

Hence, (3,6) is not the solution of the given system of equations.

What 3 number combination will open the lock ?? Imagine a lock has a 3 digit combination use the clues below to figure out the correct combination to open the lock .

682- One digit is right and in the correct place .

614- One digit is right but in the wrong place

206- Two digits are right but both in the wrong place.

738-All digits are wrong

380- One digit is right but in the wrong place
please write it in your own words


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Answers

Answer:

062

Step-by-step explanation:

2 is right and in the correct place

2 & 6 are right but in the wrong place

0 is right but I the wrong place


Helpppppppppp plsssssss

Answers

Answer:

1.05

Step-by-step explanation:

shop A: 2x3= 6

shop b: 5 for 1.10, 5 more for .55, so 1.65/10

1.65×3= 4.95

6-4.95= 1.05

A rectangular chalkboard is 1.7 m long and 0.9 m wide.

What is the area of the chalkboard?

O A. 1.53 m2

B. 1.63 m2

OC. 2.6 m2

0

D. 5.2 m2

Help!

Answers

Answer:

[tex]A=1.53\ m^2[/tex]

Step-by-step explanation:

The length of a chalkboard, l = 1.7

The width of a chalkboard, b = 0.9 m

We need to find the area of the chalkboard. The formula for the area of a rectangle is given by :

[tex]A=L\times B\\\\A=1.7\times 0.9\\\\A=1.53\ m^2[/tex]

So, the area of the chalkboard is equal to [tex]1.53\ m^2[/tex].

(11+x)/2-(9x-3)/4 x=3

Answers

Answer:

(11+X)/2-(9x-3)/4 x=3

subsititute 3 into all x

(11+3)/2-(9*3)-3)/4

first solve the first diviision

2-(9 times 3)-3/4

=2-(27-3)/4

=2-(24)/4

since the "2-" is there, you have to subtract it from 24 before you dividewhich would then be

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DON'T forget you have another bracket waiting for you since you were given 3 brackets. bring the first bracket down

2-(9x-3)/4 was solved and we got 5.5, so basically we are "substituting 5.5 into that part of the question)

11+x/5.5

11+3/5.5

14/5.5

=2.54 which is your final answer

Sorry if I went overboard lol.

Step-by-step explanation:

yes, the answer is 2.54 I believe.

In ΔGHI, h = 990 inches, g = 910 inches and ∠G=53°. Find all possible values of ∠H, to the nearest degree.

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Answers

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Javina is at the store buying cheese. The cost of the cheese
is $0.44 per ounce. She buys 10 ounces of the cheese.
How much money does Javina spend on the cheese?
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B
$4.50
C $4.40
$8.80

Answers

Answer: $4.40

Step-by-step explanation:

10 times 0.44 equals 4.40

Answer:

Step-by-step explanation:

c 10 times 0.44= 4.40

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Answers

Answer:

0.27 lt/s

Step-by-step explanation:

80 liters in 5 minutes

5 minutes are 300 seconds (5x60)

We know how many seconds we need to fill up the tank (300 seconds for 80 liters). Now we need to know how many liters we can fill up in 1 second, as the question requires "liters per second".

80 lt / 300 sec

X lt / 1 sec

80 x 1

----------    = X

300

X = 0.2666666...

X = 0.27 lt / s

Find the slope of the line passing through the points (6, 7) and (6, -5).

Answers

Answer:

undefined

It is undefined because if you put it on a graph you get a line going straight down.

plz no spam



One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.
The bases are congruent.
The solids are similar.
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The volume of the first solid is twice as much as the volume of the second solid.
If the dimensions of the second solid are x by x by h, the first solid has 4xh more surface area than the second solid.

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Answer:

im sorry i need my points back

Step-by-step explanation:

A right triangle has the following measures. a = 3 and b = 4. what is the length of side c?
5
5.5
6

Answers

Answer:

5

Step-by-step explanation:

This is Pythagorean triple 3-4-5 or you can verify by plugging into Pythagorean Theorem:

[tex]3^2 + 4^2 = c^2[/tex]

c = 5

math help with math please help

Answers

Answer:

X=6

Explain your Explanation:

Answer:

x=6

Step-by-step explanation:

The graph of f (2) is shown as a dashed curve.
10
8
1
6
1
1
4
1
1
2
0
2
4
-6
-8
-10
-10
8
6
2
0
2
8
10

Answers

Answer:

???

Step-by-step explanation:

Find the length of the side and perimeter of the square whose area is given
(a) 49 sq.m​

Answers

Answer:

Length 7metres

Perimeter 28 metres

Step-by-step explanation:

Area of a square is L²

To get the length of one side is thus√L²

√49=7 metres

Perimeter will be length by 4

7×4=28 metres

Can someone help please, please no dirty links you will be reported.

Answers

Answer:

3.25

nskkdbskaxmxbshlmsg

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