An engineer is participating in a research project on the title patterns of junk emails. The number of junk emails which arrive in an individual's account every hour follows a Poisson distribution with a mean of 1.8. (a) What is the expected number of junk emails that an individual receives in an 8-hour day? E = i (b) What is the probability that an individual receives more than two junk emails for the next three hours? Round your answer to two decimal places (e.g. 98.76). P = i (c) What is the probability that an individual receives no junk email for two hours? Round your answer to three decimal places (e.g. 98.765). P =

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An engineer is participating in a research project on the title patterns of junk emails. The number of junk emails which arrive in an
individual's account every hour follows a Poisson distribution with a mean of 1.8.
(a) What is the expected number of junk emails that an individual receives in an 8-hour day?
E = i
(b) What is the probability that an individual receives more than two junk emails for the next three hours?
Round your answer to two decimal places (e.g. 98.76).
P = i
(c) What is the probability that an individual receives no junk email for two hours?
Round your answer to three decimal places (e.g. 98.765).
P =
Transcribed Image Text:An engineer is participating in a research project on the title patterns of junk emails. The number of junk emails which arrive in an individual's account every hour follows a Poisson distribution with a mean of 1.8. (a) What is the expected number of junk emails that an individual receives in an 8-hour day? E = i (b) What is the probability that an individual receives more than two junk emails for the next three hours? Round your answer to two decimal places (e.g. 98.76). P = i (c) What is the probability that an individual receives no junk email for two hours? Round your answer to three decimal places (e.g. 98.765). P =
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