can someone tell me how to do these problems ? The number of emails received by

Question

can someone tell me how to do these problems ?

The number of emails received by a customer service department in February is equally likely to be any of the values in (180, 181, ..., 275). Let X denote the number of emails received in February. What is the probability that exactly 220 emails are received in February? (Report answer to three decimal places. Answer must be within +/- 0.001 of correct value) The number of emails received by a customer service department in February is equally likely to be any of the values in {180, 181, ..., 275}. Let X denote the number of emails received in February. What is the standard deviation of the number of emails received in February? (Report answer to three decimal places. Answer must be within +/- 0.001 of correct value.)

Explanation / Answer

Answer - 13:

Minimum value = 180

Maximum value = 275

Hence,

Total number of values = 96

So,

P(Exactly 220 emails are received in Feb) = 1/96 = 0.010

Answer - 14:

Standard deviation of the number of emails

= stdev(180, 181, ...... 275) [Excel Fromula]

= 27.857

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