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
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 | |||
---|---|---|---|---|---|
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?
=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?
=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?
=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?
=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(x3)=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(x3)=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
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started