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Let X,,X,, and X, represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent normal random variables with expected values 4,,, and µ, and variances of,o, and ơ,, respectively. Suppose 4 = 60, µ, =64, z = 80 and o, =0, =0, =5. a. Calculate P(X, +X, + X, <210). b. What is E (X), the expectation of X = 41+43+43? What is og, the standard 3 deviation of X? c. Calculate P(X >65) and P(62< X < 68).

Let X,,X,, and X, represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent normal random variables with expected values 4,,, and µ, and variances of,o, and ơ,, respectively. Suppose 4 = 60, µ, =64, z = 80 and o, =0, =0, =5. a. Calculate P(X, +X, + X, <210). b. What is E (X), the expectation of X = 41+43+43? What is og, the standard 3 deviation of X? c. Calculate P(X >65) and P(62< X < 68).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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Let X,X,, and X, represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent normal random variables with expected values 4,4, and t4, and variances of,o;, and of, respectively. Suppose 4 = 60, µ, = 64, l, = 80 and o, =0, =0; =5. a. Calculate P(X, +X, +X, < 210). b. What is E (X), the expectation of X = *1+42+A3? What is og, the standard 3 deviation of X? c. Calculate P(X >65) and P(62<X <68).
Transcribed Image Text:Let X,X,, and X, represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent normal random variables with expected values 4,4, and t4, and variances of,o;, and of, respectively. Suppose 4 = 60, µ, = 64, l, = 80 and o, =0, =0; =5. a. Calculate P(X, +X, +X, < 210). b. What is E (X), the expectation of X = *1+42+A3? What is og, the standard 3 deviation of X? c. Calculate P(X >65) and P(62<X <68).
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