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The process of being served at a bank consists of two independent parts—the time

ID: 3337755 • Letter: T

Question

The process of being served at a bank consists of two independent parts—the time waiting in line and the time it takes to be served by the teller. Suppose that the time waiting in line has an expected value of 5 minutes, with a standard deviation of 1.4 minutes, and the time it takes to be served by the teller has an expected value of 5.9 minutes, with a standard deviation of 1.6 minutes. a. Compute the expected value of the total time it takes to be served at the bank. b. Compute the standard deviation of the total time it takes to be served at the bank. (Type an integer or a decimal.)

Explanation / Answer

Ans:

a)Expected value of total time it takes to be served at the bank=5+5.9=10.9 minutes

b)standard deviation of the total time it takes to be served at the bank=sqrt(1.42+1.62)=sqrt(4.52)=2.126 minutes