Over 500 million tweets are sent per day (Digital Marketing Ramblings website, December 15, 2014). Assume that the number of tweets per hour follows a Poisson distribution and that Bob receives on average 7 tweets during his lunch hour. a. What is the probability that Bob receives no tweets during his lunch hour? b. What is the probability that Bob receives at least 4 tweets during his lunch hour? c. What is the expected number of tweets Bob receives during the first 30 minutes of his lunch hour? d. What is the probability that Bob receives no tweets during the first 30 minutes of his lunch hour?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Over 500 million tweets are sent per day (Digital Marketing Ramblings website,
December 15, 2014). Assume that the number of tweets per hour follows a Poisson distribution and that Bob receives on average 7 tweets during his lunch hour.
a. What is the probability that Bob receives no tweets during his lunch hour?
b. What is the probability that Bob receives at least 4 tweets during his lunch hour?
c. What is the expected number of tweets Bob receives during the first 30 minutes of his
lunch hour?
d. What is the probability that Bob receives no tweets during the first 30 minutes of his
lunch hour?

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