The following function is probability Distribution function.
F(x)=6x+1/25, x=0, 1, 2, 3, 4.
Determine the mean, μ, and variance, σ2, of the random variable. Round your answers to two decimal places.

Answers

Answer 1

Answer:

9.60 ; - 60.96

Step-by-step explanation:

Given the function :

F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.

x = 0

F(0)=6(0+1)/25 = 6/25 = 0.24

x = 1

F(1)=6(1+1)/25 = 12/25 = 0.48

x = 2

F(2)=6(2+1)/25 = 18/25 = 0.72

x = 3

F(2)=6(3+1)/25 = 24/25 = 0.96

x = 4

F(2)=6(4+1)/25 = 30/25 = 1.2

X ______0 _____ 1 ______ 2 ______ 3 ____ 4

P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2

Mean, μ = Σx*p(x) :

(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)

= 9.60

Variance : Σx²*p(x) - μ²

(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2

= 31.2 - 92.16

= - 60.96


Related Questions

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Answer:

Try reading it pver. This is because they are too cashy. Like Duh

Step-by-step explanation:

A recipe calls for 12 cup of milk for every 34 cup of flour.

If Kenny wants to double the recipe, how many cups of flour will he need?

Answers

Answer:

68

Step-by-step explanation:

because she wants to double the recipe

so she will need 6 cups of milk

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F,B
A,D
F,E
B,E
45°
good luck buddy

Step-by-step explanation:

Q5

Supplementary angles add up to 180°∠EGF and ∠FGB

Q6

Vertical angles formed by two intersecting lines and are opposite to each other∠EGF and ∠BGC

Q7

Adjacent angles share a common side∠AGB and ∠BGC

Q8

Complementary angles form a 90° angle∠BGC and ∠CGD

Q9

Measure of ∠CGD

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An individual who has automobile insurance from a certain company is randomly selected. Let X be the number of moving violations for which the individual was cited during the last 3 years. The probability mass function of X is given below as; Number of moving violations (X) 0 1 2 3 4 P(X) 0.17 0.23 0.27 0.24 0.09 What is the cumulative distribution function

Answers

Answer:

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

F(x)    0.17    0.04    0.65    0.91      1      

Step-by-step explanation:  

Given that;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

cumulative distribution function can be calculated by;  be cumulatively up the value of p(x) with the values before it;

so

x      F(x)

0     P(X = 0) = 0.17

1       P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4

2      P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65

3      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91

4      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1

Therefore, cumulative distribution function f(x) is;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

F(x)    0.17    0.04    0.65    0.91      1      

1. Which figure would you have used to make the Escher‐like tessellation shown below?

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Answer:

I'm pretty sure the answer is B.

Step-by-step explanation:

Hope this helps u out!

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Answer:$75

Step-by-step explanation:

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Answers

Answer:

prime factors of 900 are 2,2,3,3,5,5

which is the same as 2^2×3^2×5^2

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Answers

Answer:

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Step-by-step explanation:

so first you have to use a calulator last type = then u guet your answer 1/4 of a pound

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Answers

Answer:

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Hi how are you doing today Jasmine

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Answers

Answer:

36

Step-by-step explanation:

It would only be 36 if they split the amount though

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What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We have been given that Phil and Matt sell cookies for $0.25 each,

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

On a math test a student, Jake, has to identify all the coefficients and constants of
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Answers

He is correct, but 1 is also a coefficient. n equals 1n, so there is a hidden 1 in the equation
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