According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 emails per day.† Suppose for a particular office the number of emails received per hour follows a Poisson distribution and that the average number of emails received per hour is nine. (Round your answers to four decimal places.) (a) What is the probability of receiving no emails during an hour? (b) What is the probability of receiving at least three emails during an hour? (c) What is the expected number of emails received during 15 minutes? (d) What is the probability that no emails are received during 15 minutes?
Added by Lisa G.
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71828). P(X = 0) = (e^(-9) * 9^0) / 0! P(X = 0) = (e^(-9) * 1) / 1 P(X = 0) ≈ 0.0001234 So, the probability of receiving no emails during an hour is approximately 0.0001234. (b) The probability of receiving at least three emails during an hour can be found by Show more…
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According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five. a. What is the probability of receiving no e-mails during an hour? b. What is the probability of receiving at least three e-mails during an hour? c. What is the expected number of e-mails received during 15 minutes? d. What is the probability that no e-mails are received during 15 minutes?
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