Given the probability distributions shown to the right, complete the following parts. Distribution A Distribution B x₁ P(X-x₁) x₁ P(X=x₁) a. Compute the expected value for each distribution. 0 0.48 0 0.02 b. Compute the standard deviation for each distribution. 0.22 1 0.11 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. 2 0.17 2 0.17 3 0.11 3 0.22 4 0.02 4 0.48 a. What is the expected value for distribution A? με (Type an integer or decimal rounded to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
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.
a. What is the expected value for distribution A?
με
(Type an integer or decimal rounded to three decimal places as needed.)
Distribution A
x₁
P(X=x₁)
0
0.48
1
0.22
2
0.17
3
0.11
0.02
XO1234
0
Distribution B
P(X = x₁)
0.02
0.11
0.17
0.22
0.48
Transcribed Image Text: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. a. What is the expected value for distribution A? με (Type an integer or decimal rounded to three decimal places as needed.) Distribution A x₁ P(X=x₁) 0 0.48 1 0.22 2 0.17 3 0.11 0.02 XO1234 0 Distribution B P(X = x₁) 0.02 0.11 0.17 0.22 0.48
Expert Solution
steps

Step by step

Solved in 6 steps with 20 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,