Given the probability distributions shown to the right, complete the following parts.
|
Given the
a. Compute the
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.
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Distribution A
|
Distribution B
|
|
||
|---|---|---|---|---|---|
|
xi
|
P(X=xi)
|
xi
|
P(X=xi)
|
||
|
0
|
0.03
|
0
|
0.46
|
||
|
1
|
0.11
|
1
|
0.23
|
||
|
2
|
0.17
|
2
|
0.17
|
||
|
3
|
0.23
|
3
|
0.11
|
||
|
4
|
0.46
|
4
|
0.03
|
Question content area bottom
Part 1
a. What is the expected value for distribution A?
μ=enter your response here
(Type an integer or decimal rounded to three decimal places as needed.)
Part 2
What is the expected value for distribution B?
μ=enter your response here
(Type an integer or decimal rounded to three decimal places as needed.)
Part 3
b. What is the standard deviation for distribution A?
σ=enter your response here
(Type an integer or decimal rounded to three decimal places as needed.)
Part 4
What is the standard deviation for distribution B?
σ=enter your response here
(Type an integer or decimal rounded to three decimal places as needed.)
Part 5
c. What is the probability that x will be at least 3 in Distribution A?
P(x≥3)=enter your response here
(Type an integer or a decimal. Do not round.)
Part 6
What is the probability that x will be at least 3 in Distribution B?
P(x≥3)=enter your response here
(Type an integer or a decimal. Do not round.)
Part 7
d. Use these results to compare distribution A and distribution B.
A.
Distribution A is
right-skewed,
distribution B is symmetric.
B.
Distribution A is symmetric, distribution B is
left-skewed.
C.
Distribution A is
left-skewed,
distribution B is
right-skewed.
D.
Distribution A is symmetric, distribution B is symmetric.
E.
Distribution A is
right-skewed,
distribution B is
left-skewed.
Distribution A: xi Distribution A: P(X=xi) Distribution B: xi Distribution B: P(X=xi)
0 0.03 0 0.46
1 0.11 1 0.23
2 0.17 2 0.17
3 0.23 3 0.11
4 0.46 4 0.03
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