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The process of being served at a bank consists of two parts—the time waiting in line...

The process of being served at a bank consists of two parts—the time waiting in line and the time it takes to be served by the teller. Suppose that the time waiting in line (X) has an expected value of 4.21 minutes, with a standard deviation of 1.1 minutes, the time it takes to be served by the teller (Y) has an expected value of 6.65 minutes, with a standard deviation of 1.32 minutes, and the correlation coefficient between the time waiting in line and the time it takes to be served is 0.51. What is the standard deviation of the total time (X+Y) it takes to be served at the bank?

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Answer #1

given, time waiting in line (x) ) E(x) = ll, = 4.21 minutes VQ) = 62 (1:1)2= 1.21 f the served by teller (y) => (4)= M2 = 6.6

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