Question

Given the probability distributions shown to the​ right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution​ B? d. Compare the results of distributions A and B.		Distribution A		Distribution B
		x Subscript ixi	​P(Xequals=x Subscript ixi​)	x Subscript ixi	​P(Xequals=x Subscript ixi​)
		0	0.030.03	0	0.490.49
		1	0.080.08	1	0.230.23
		2	0.170.17	2	0.170.17
		3	0.230.23	3	0.080.08
		4	0.490.49	4	0.030.03

a. What is the expected value for distribution​ A?

muμequals=nothing

​(Type an integer or decimal rounded to three decimal places as​ needed.)

What is the expected value for distribution​ B?

muμequals=nothing

​(Type an integer or decimal rounded to three decimal places as​ needed.)

b. What is the standard deviation for distribution​ A?

sigmaσequals=nothing

​(Type an integer or decimal rounded to three decimal places as​ needed.)

What is the standard deviation for distribution​ B?

sigmaσequals=nothing

​(Type an integer or decimal rounded to three decimal places as​ needed.)

c. What is the probability that x will be at least 3 in Distribution​ A?

Upper P left parenthesis x greater than or equals 3 right parenthesisP(x≥3)equals=nothing

​(Type an integer or a decimal. Do not​ round.)

What is the probability that x will be at least 3 in Distribution​ B?

Upper P left parenthesis x greater than or equals 3 right parenthesisP(x≥3)equals=nothing

​(Type an integer or a decimal. Do not​ round.)

d. Use these results to compare distribution A and distribution B.

A.

Distribution A is​ symmetric, distribution B is symmetric.

B.Distribution A is

rightright​-skewed,

distribution B is symmetric.

C.Distribution A is

leftleft​-skewed,

distribution B is

rightright​-skewed.

D.Distribution A is

rightright​-skewed,

distribution B is

leftleft​-skewed.

E.Distribution A is​ symmetric, distribution B is

leftleft​-skewed.

Answer 1