Cars arriving for gasoline at a Shell station follow a Poisson distribution with a mean of 5 per hour.A. Determine the probability that over the next hour, only one car will arrive.Probability =0.03369%3DB. Compute the probability that in the next 6 hours, more than 21 cars will arrive.Probability =0.

poisson distribution is given by

Answered: Cars arriving for gasoline at a Shell…

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 height of women in a country (ages 20−29) is 63.6 inches. A random sample of 70 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ=2.79. The probability that the mean height for the sample is greater than 64 inches is _________.
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers per minute. Assuming that the arrivals follow Poisson distribution, compute the probability that at least three passengers arrive in a 30-second period a. 0.0413 b. 0.0007 c. 0.0079 d. 0.8753
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
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A pizza parlour makes an average of 5.75 pizzas every 5 minutes during the dinner rush. What is the probability that the restaurant will make at least one pizza per minute during the dinner rush? Analyze the given scenario and complete the following: a. Determine which probability distribution should be used to model the scenario. Hypergeometric Geometric E Poisson SAMSUNG SUBMIT QUESTION SAVE PROGRESS SUBMIT
A university is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 18 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. What is the arrival rate? (Include the units.) What is the service rate? (Include the units.) Find the probability that the employee is idle.

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