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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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...
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 4 tweets during his lunch hour (to 4 decimals)? For this question, if calculating...
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 4 tweets during his lunch hour (to 4 decimals)? c. What is the expected...
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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 (to 4 decimals)? b. What is the probability that Bob receives at least 4 tweets during his lunch hour (to 4 decimals)? For this question, if calculating...
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[10 marks] Parking spaces near the university are taken almost immediately during the day, as they become available. The event of a parking space becoming available follows a Poisson process with rate A 1 space per 3 minutes (a) What is the expected value and variance for the number of parking spaces becoming available in an hour? 2 marks What is the expected waiting time for a space to become available? [1 marks] (b) A student has been waiting for...
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