A company is preparing to launch a new web site to sell its products. From past experience, they know that purchases at the site will occur as a Poisson process with on average 30 purchases every 10 minutes. a) What is the expected time in minutes before the first purchase after the site opens? Give your answer to four decimal places b) What is the probability that more than 0.07 minutes pass before the first purchase? Give your answer to four decimal places. c) What is the expected time in minutes until the eighth purchase? Give your answer to four decimal places. d) What is the probability that the eighth purchase will occur between 2.33 minutes and 3 minutes after the site opens? Give your answer to four decimal places
A company is preparing to launch a new web site to sell its products. From past experience, they know that purchases at the site will occur as a Poisson process with on average 30 purchases every 10 minutes. a) What is the expected time in minutes before the first purchase after the site opens? Give your answer to four decimal places b) What is the probability that more than 0.07 minutes pass before the first purchase? Give your answer to four decimal places. c) What is the expected time in minutes until the eighth purchase? Give your answer to four decimal places. d) What is the probability that the eighth purchase will occur between 2.33 minutes and 3 minutes after the site opens? Give your answer to four decimal places
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Step 1: determine the Poisson process
VIEWStep 2: determine the expected time before first purchase.
VIEWStep 3: determine the probability that more than 0.25 minutes pass before the first purchase
VIEWStep 4: determine the expected time in minutes until the seventh purchase
VIEWStep 5: determine the probability that the fifth purchase will occur between 2.73 minutes and 3.64 minutes
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