Question

In: Statistics and Probability

Typical incoming telephone call to your catalog sales force results in a mean order of &28.63...

Typical incoming telephone call to your catalog sales force results in a mean order of &28.63 with a standard deviation of %13.91. You may assume that orders are received independently of one another.

1.An operator is expected to handle 110 incoming calls tomorrow. Find the mean and standard deviation of the resulting total order.

2. Find the approximate probability that the operator in part 1 will generate a total order of more than %3300 tomorrow.

3. Find the approximate probability that the operator in part 1 will generate an average order between %27 and %29 tomorrow.

Expert Solution

1.An operator is expected to handle 110 incoming calls tomorrow. Find the mean and standard deviation of the resulting total order.

Mean = population mean = 28.63

Standard deviation, sd = 13.91/sqrt(110) = 1.326

2. Find the approximate probability that the operator in part 1 will generate a total order of more than %30 tomorrow.

The following information about the mean and standard deviation has been provided:

We need to compute The corresponding z-value needed to be computed is:

Therefore, we get that

3. Find the approximate probability that the operator in part 1 will generate an average order between %27 and %29 tomorrow.

The following information about the mean and standard deviation has been provided:

We need to compute . The corresponding z-values needed to be computed are:

Therefore, the following is obtained:

orchestra answered 2 years ago

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