Question

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 3.49 minutes, with a standard deviation of 1.32 minutes, the time it takes to be served by the teller (Y) has an expected value of 6.16 minutes, with a standard deviation of 1.99 minutes, and the correlation coefficient between the time waiting in line and the time it takes to be served is 0.08. What is the standard deviation of the total time (X+Y) it takes to be served at the bank?

Math   Statistics-And-Probability   
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Answer #1

given data are:-

according to the problem,

as there is a correlation between X and Y , we can not assume that the two events are independent.

so, we have,

   

   

hence,the standard deviation of the total time (X+Y) it takes to be served at the bank be:-

  2.474 minutes

***If you have any doubt regarding the problem please write it in the comment box..if you are satisfied please give me a LIKE if possible...

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