The time between people arriving to asoftball game in awindow of time is distributed as an exponential random variablewith mean 0.2 minutes.a. What is the expected number of people arriving per hour?b. What is the probability that a ticket-checker has to wait at least2 minutes between two consecutive arrivals?c. A ticket-checker has waited for 3 minutes without an arrival.What is the probability that they have to wait at least 2 moreminutes?

Answered: The time between people arriving to a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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The mean number of patients admitted per day to the emergency room of a small hospital 1.3, if on a given day, there are only two beds available for new patients, what us the probability that the hospital will not have neough beds to accommodate its newly admitted patients ?
Answer D
Airline passengers arrive randomly and independently at the passenger screening facility at a major international airport. The mean arrival rate is 9 passengers per minute. A. Compute the probability of no arrivals in a one-minute period (to 4 decimals) B. Compute the probability that three or fewer passengers arrive on a one-minute peruod (4 decimal) C. Compute the probability of no arrivals in a 15-second peruod (to 4 decimal) D. Compute the probability of at least one arrival in a 15-second period (to 4 decimals) Thank you
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C. Hail Mary Shot - A Hail Mary shot is a shot thrown from a place far away from the basket. Since it is far, people say you need to pray or hail Mary to make it. Based on Piel's records, 2 out of 500 hail Mary shots made by all players in the league went in. To know the chances of Piel witnessing a hail Mary shot, distribution should be used with average rate of occurrence equal to With this, the probability that Piel will never witness a hail Mary shot in the game is
Howard is 30% likely to be subjected to the Tax Bureau's audits due to his previous crinimal record. What is the probability that he will not be subjected to the random audit for at least 3 years?a. describe random variable x.b. what distribution does x follow? explainc. what is the probability that he will not be subjected to the random audit for at least 3 years?
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Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 11 passengers per minute. a. Compute the probability of no arrivals in a one-minute period (to 6 decimals). 0.0000 b. Compute the probability that three or fewer passengers arrive in a one-minute period (to 4 decimals). 0.0103 c. Compute the probability of no arrivals in a 15-second period (to 4 decimals). 0.0820 d. Compute the probability of at least one arrival in a 15-second period (to 4 decimals). 0.9179
3. Assume that the wait time to see your family doctor is uniformly distribution been 10 and 30 minutes. A. What's the probability you wait more than 20 minutes to see your family doctor? B. What's the probability you less than 15 minutes to see your family doctor? C. What's the probability you wait between 20 and 25 minutes?

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