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Over 500 million tweets are sent per day (Digital Marketing Ramblings website, December 15, 2014). Assume...

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 (to 4 decimals)?

b. What is the probability that Bob receives at least tweets during his lunch hour (to 4 decimals)? For this question, if calculating the probability manually make sure to carry at least 4 decimal digits in your calculations.

c. What is the expected number of tweets Bob receives during the first 30 minutes of his lunch hour (to 1 decimal)?

d. What is the probability that Bob receives no tweets during the first 30 minutes of his lunch hour (to 4 decimals)?

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Answer #1

Poisson distribution, Aニチ Ca) O 9009 -3 2 o.031 ,. Expected わurn ber of tweets Bob тесе, ves during the frst 30 min t3 $-

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