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? (Type an integer or decimal rounded to three decimal places as needed.) C... X₁ 0 1 2 3 4 Distribution A P(X-x;) 0.06 0.08 0.13 0.18 0.55 X₂ 0 1 2 4 Distribution B P(X-x₂) 0.55 0.18 0.13 0.08 0.06

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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?
P=
(Type an integer or decimal rounded to three decimal places as needed.)
C
X₁
1
4
Distribution A
P(X=x;)
0.06
0.08
0.13
0.18
0.55
X₁
0
1
2
3
4
Distribution B
P(X=x;)
0.55
0.18
0.13
0.08
0.06
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? P= (Type an integer or decimal rounded to three decimal places as needed.) C X₁ 1 4 Distribution A P(X=x;) 0.06 0.08 0.13 0.18 0.55 X₁ 0 1 2 3 4 Distribution B P(X=x;) 0.55 0.18 0.13 0.08 0.06
Expert Solution
Step 1: Introduce the given information

Here the given probability distribution table is:- 

Statistics homework question answer, step 1, image 1

We have to compute the expected value for each distribution .

Using formula ,

Expected value = sum for blank of X • P left parenthesis x right parenthesis

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