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HW 7 [Compatibility Mode] a- Search in Document Home Insert Design Layout Refere

ID: 2935562 • Letter: H

Question

HW 7 [Compatibility Mode] a- Search in Document Home Insert Design Layout References Mailings Review View Share AaBbCcDd AaBbCcDc AaBbCcDdEe l U.ebe X2x? A, R , . A _ , 1, ch,.L , Paste Heading1Hesding 2 Title Styles ane Sublite 1) Customers arrive to post ofice according to Poisson distribution with parameter -10 customers/hr a) What is the expected number of customers who come to the post office in an 8-hr working day? b) What is the distribution of number of customers served during an 8- hr work day? What is the probability that 2 customers arrive at 3:00PM to 3:30 PM? c) Page 1 of 1 62 words English (US) Focus 150%

Explanation / Answer

= 10 per hour

a) Expected number per 8 hour = 80 per 8 hour

b) the distribution is poisson distribution with parameter, = 80

c) = 5 per 30 minutes

P(X = 2) = e-5 * 52 / 2! = 0.0842