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

Can someone help me ?

Answers

Answer:

The second one doesn't match.

If Sally walks 2 meter it takes her 1 second. If she walks 4 meters it takes her 2 seconds and 6 meters takes her 3 seconds. Is this a linear situation? Make a table and plot the points in the table to determine whether the following relationship is linear If it is, write an equation that represents the data.

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Answer:

y=2x

Step-by-step explanation:

2   1

4   2

6   3

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Answer:

your bo**bs are so far wooooooooooooooooow!!!!

Which statement about the area of a right triangle is true?
F :The area formula for a right triangle is the base times the height because a rectangle can be
divided into two right triangles.
G: The area formula for a right triangle is the base times the height because a right triangle
can be divided into two rectangles.
H: The area formula for a right triangle is one-half of the base times the height because a
rectangle can be divided into two right triangles.
J: The area formula for a right triangle is one-half of the base times the height because a right
triangle can be divided into two rectangles.

Answers

Answer:

H

Step-by-step explanation:

This is because a rectangle can be divided into two triangles.

2. After the translation, where Is Alocated?
Write your answer in the space below.
Text

Answers

9514 1404 393

Answer:

  A'(-3, 13)

Step-by-step explanation:

The transformation that moves a point 4 left and 8 up is ...

  (x, y) ⇒ (x -4, y +8)

The transformation that reflects a point across the y-axis is ...

  (x, y) ⇒ (-x, y)

Applied after the translation, the transformation of ∆ABC becomes ...

  (x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)

Then point A gets moved to ...

  A(7, 5) ⇒ A'(4 -7, 5 +8) = A'(-3, 13)

___

In the attached graph, the purple triangle is the result of the translation 4 left and up 8. Then the blue one is after reflection across the y-axis.

Does anyone know how to do this

csc x ( sin x + cos x) = 1 + cot x ​

Answers

9514 1404 393

Explanation:

Use the identities ...

  csc(x) = 1/sin(x)

  cot(x) = cos(x)/sin(x)

__

  [tex]\csc(x)(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{1}{\sin(x)}(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{\sin(x)}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}=1+\cot(x)\\\\1+\cot(x)=1+\cot(x)[/tex]

Milan is putting money into a savings account. He starts with $750 in the savings account, and each week he adds $70
Let "s" represent the total amount of money in the savings account (in dollars), and let "W" represent the number of weeks Mila
has been adding money. Write an equation (y = mx + b), relating "s" to "W". Then, use this equation to find the total amount of
money in the savings account after 12 weeks." (10 points)

Answers

Answer:

equation: s = 70W + 750

answer for 12 weeks: 1590

Step-by-step explanation:

You replace W with 12 to get the total amount per 12 weeks.

PLEASE HELP ME ANYONE ???????????!!!

Answers

Answer:

A x>9

Step-by-step explanation:

add 4 to both sides and ta da

Answer:

x>9

Step-by-step explanation:

you move the negative 4 to the other side to get it away from x so then you can find the answer.

Hope this helps:)

The lengths of the three sides of a triangle are
x cm, 2x cm and 3x cm. Its perimeter is 30 cm.
Evaluate x.​

Answers

Answer:

Answer is 5

Step-by-step explanation:

x+2x+3x=30

6x=30

x=5

The answer should be 5

The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 16 ^\circ. How far is the ship from the base of the lighthouse? feet

Answers

Answer:

As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:

d1 = 44 / tan(60) = 25.403 m

For point2:

d2 = 44 / tan(30) = 76.210 m

The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.

The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Step-by-step explanation:

The circle graph shows how a family budgets its annual income. if the total annual income is $130,000, ehat amount is budgeted for clothing?
$?​

Answers

Answer:

Step-by-step explanation:

17% = 0.17

$130 000 × 0.17 = $22 100

A+5 expressed as a difference

Answers

Answer:

A-(-5) = A+5

it is the answer

Answer:

a-(-5)

Step-by-step explanation:

Since it's originally an addition question but you want to write it as a difference (subtraction) question, you would use double negative signs. Whenever there are two double negatives next to each other, it counteracts and becomes a positive sign, however you still wrote it as a subtraction question.

Hope this helps

Solve (x - 4)2 = 5.
help

Answers

Answer:

13/2

Step-by-step explanation:

2x-8=5

2x=5+8

2x=13

x=13/2

hope it helps

PLEASE WILL MARK BRAINIEST!!!!!! Jameson and Quincy each deposit $7,000 into accounts that earn 6% interest, but Jameson earns annual simple interest while Quincy earns annual compound interest. Assuming neither one of them makes any deposits or withdrawals for 5 years, which of the following is a true statement?

Jameson will have about $9,367.58 less in his account than Quincy.


Jameson will have about $267.58 less in his account than Quincy.


Jameson will have about $2,367.58 more in his account than Quincy.


Jameson will have about $2,100 more in his account than Quincy.

Answers

Jameson will have about $267.58 less in his account than Quincy.

What is Compound Interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Here, Jameson deposit Principal = $ 7000

           Duration = 5 years

           Rate of interest = 6 % SI per annum.

For simple Interest,   Amount = P(1+RT)

Total amount in Jameson at the end of 5 years = 7000 ( 1 + 0.06 X 5)

                                                          = 7000 X 1.3

                                                         = $ 9100

Quincy deposit Principal = $ 7000

           Duration = 5 years

           Rate of interest = 6 % CI per annum.

For Compound Interest,   Amount = P(1+R)ⁿ

Total amount in Quincy at the end of 5 years =  7000 ( 1 + 0.06)⁵

                                                                           = 7000 X 1.34

                                                                           = $ 9367.58

Thus, Jameson will have about $267.58 less in his account than Quincy.

Learn more about Compound Interest from:

https://brainly.com/question/14295570

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A circle has a diameter of 24 cm. Which expression
could represent the area of this circle in square cm?

Answers

36 I think but don’t trust me trust GOD THE ALMIGHTY.

The height of a building is 60 m long to the nearest degree what is the angle of elevation of the sun on a building cast a shadow that is 80 m long

Answers

Answer:

80m

Step-by-step explanation:

please help i really need it i have been working on this for the past 42 minutes

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For graphing use the website Desmos, it gives you the answers for graphing

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Answer:

DO NOT GO ON THST LINK< IT WILL SEND A VIRUS TO YOUR DEVICE!!!

Step-by-step explanation:


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Answer:

F

Step-by-step explanation:

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Answer:

The answer is 60x500=30000

Step-by-step explanation:

30000 is your answer

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Answers

[tex]{ :{ \implies { \tt{ \blue{ \frac{1}{4} x + 3 - \frac{1}{3} x + ( - 2)}}} }}\\ \\ \\ { : { \implies{ \blue{ \tt{ \frac{1}{4} x - \frac{1}{3} x + 3 - 2}}}}}[/tex]

[tex]{ : { \implies{ \tt{ \blue{ \frac{1}{4} x - \frac{1}{3} x + 1}}}}} \\ \\ \\ { : { \implies{ \tt{ \blue{ \frac{3x - 4x + 12}{12}}}}}} [/tex]

[tex]{ :{ \implies{ \blue{ \tt{ \frac{12 - x}{12}}}}}} \\ \\ \\ { : { \implies{ \blue{ \tt{1 - \frac{x}{12}}}}}} [/tex]

option ( D ) is correct

Oh god I don’t know

Please and I’ll give Brain list to you

Answers

Answer:

e

Step-by-step explanation:

e

Answer:

6

Step-by-step explanation:

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Answers

19. x^2+16x+64
=(x+8)^2
21. x^2-10x+25
=(x-5)^2

A baseball player throws a ball from second base to home plate. How far does the player throw the ball? Include a diagram showing how you got your answer. Decide how many decimal points of accuracy are reasonable. Explain your reasoning.

Answers

Answer:

127 ft 3 3/8in

Step-by-step explanation:

Assuming the field is regulation (I can't see the model), the answer is 127 feet and 3 3/8 inches.

P = kQ
a) direct
b) inverse
c) joint variation
PLEASE HELP!! WILL MARK BRAINIEST!!

Answers

99% sure this is joint variation.

5/6 minus (- 3/4)
HELP PLS

Answers

Answer:

In order to solve this problem, you have to find the lowest common denominator.  Take multiples of both 6 and 4 and see which is the lowest you have in common.

4: 4, 8, 12, 16, 20

6: 6, 12, 18, 24

So 12 is the lowest common multiple....

5/6 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

3/4 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

When the denominators are the same, you can subtract the numerators.  The denominator will stay 12!

Step-by-step explanation:

YAY! I want a brain

Answer:

Exact Form: 19/12

Decimal form:1.583

Mixed number form: 1 7/12

Step-by-step explanation:

hope i was right!

Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) left parenthesis, z, right parenthesis she can raise with 10 dark power crystals.

Answers

Answer:

So.. Liliana used 4 crystals to race 14 zombie soldiers.

14 / 4 = 3.5. She can race 3.5 zombie soldiers if she uses 1 crystal. So, all you need to do it multiply 3.5 by 10 and you end up with 35.

So, Liliana is able to race 35 zombie soldiers with 10 power crystals.

Glad I could help!

Step-by-step explanation:

please help im literally crying im desperate i can't fail please ​

Answers

Answer:

as my caculation the answer is : 11.3137 m3

Step-by-step explanation:

i use my caculator

Brainiest guranted question below.

Answers

Answer:

48

Step-by-step explanation:

30 is 5/8 of ?

30x8=240

240/5=48

(18 Math teachers and 30 non-Math teachers)

what is the slope line ​

Answers

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

Answer:

Uphill slopes are positive slopes.

The slope will be a positive number like 5 or 2/3.

Downhill slopes are negative slopes.

The slope will be a negative number like -7 or -1/3.

Step-by-step explanation:

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