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3. A bank teller serves customers standing in the queue one by one. Suppose that the service time X; for customer i has mean E(X;) = 2 minutes and variance V(X;) = 1. We assume that service times for different bank customers are independent. Let Y be the total time the bank teller spends serving 50 customers. Find P(90 < Y < 110). 4. Derive the mean and variance of the t distribution. 5. Suppose that X1, X2, . , Xm and Y1, Y2, , Yn are independent random samples from N (µx, o%) and N(µy, o}), respectively. а. Find E(X —Ў). b. Find V(X – Y)

3. A bank teller serves customers standing in the queue one by one. Suppose that the service time X; for customer i has mean E(X;) = 2 minutes and variance V(X;) = 1. We assume that service times for different bank customers are independent. Let Y be the total time the bank teller spends serving 50 customers. Find P(90 < Y < 110). 4. Derive the mean and variance of the t distribution. 5. Suppose that X1, X2, . , Xm and Y1, Y2, , Yn are independent random samples from N (µx, o%) and N(µy, o}), respectively. а. Find E(X —Ў). b. Find V(X – Y)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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3. A bank teller serves customers standing in the queue one by one. Suppose that the service time X; for customer i has mean E(X;) = 2 minutes and variance V(X;) = 1. We assume that service times for different bank customers are independent. Let Y be the total time the bank teller spends serving 50 customers. Find P(90 < Y < 110). 4. Derive the mean and variance of the t distribution. 5. Suppose that X1, X2, · , Xm and Y1, Y2, , Yn are independent random samples from N (µx, o) and N(uy, o3), respectively. a. Find E(X –Ỹ). b. Find V(X – Y)
Transcribed Image Text:3. A bank teller serves customers standing in the queue one by one. Suppose that the service time X; for customer i has mean E(X;) = 2 minutes and variance V(X;) = 1. We assume that service times for different bank customers are independent. Let Y be the total time the bank teller spends serving 50 customers. Find P(90 < Y < 110). 4. Derive the mean and variance of the t distribution. 5. Suppose that X1, X2, · , Xm and Y1, Y2, , Yn are independent random samples from N (µx, o) and N(uy, o3), respectively. a. Find E(X –Ỹ). b. Find V(X – Y)
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