Question
Given the probability distributions shown to the right, complete the following parts. a. Compute the expected...
|
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.
Homework Answers
Answer #1
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