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For each situation given below, do the following: A) Decide if the random variable is Poisson (or reasonably close to Poisson). Explain your reasoning. B) If it is Poisson, find the mean and variance. C) If it is Poisson, find the probabilities indicated in the problem. 1. During the lunch rush, cars arrive at the McDonald's drive-thru line at a rate of 58 cars per hour. The arrivals are random. a. The probability of O cars arriving in the next half hour. b. The probability of more than 60 cars arriving in the next half hour.

For each situation given below, do the following: A) Decide if the random variable is Poisson (or reasonably close to Poisson). Explain your reasoning. B) If it is Poisson, find the mean and variance. C) If it is Poisson, find the probabilities indicated in the problem. 1. During the lunch rush, cars arrive at the McDonald's drive-thru line at a rate of 58 cars per hour. The arrivals are random. a. The probability of O cars arriving in the next half hour. b. The probability of more than 60 cars arriving in the next half hour.

A First Course in Probability (10th Edition)
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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For each situation given below, do the following: A) Decide if the random variable is Poisson (or reasonably close to Poisson). Explain your reasoning. B) If it is Poisson, find the mean and variance. C) If it is Poisson, find the probabilities indicated in the problem. 1. During the lunch rush, cars arrive at the McDonald's drive-thru line at a rate of 58 cars per hour. The arrivals are random. a. The probability of 0 cars arriving in the next half hour. b. The probability of more than 60 cars arriving in the next half hour. 2. You work for a home security sales team going door-to-door. You average 4.3 sales per day. a. The probability of no sales in a given day. b. The probability of more than 25 sales during a workweek (5 days). c. The probability of at least 250 sales over a 12 workweek summer. 3. Br. Cox plants a fixed number of bean seeds in each of his garden boxes. He is interested in the number that germinate in a given box. On average, 23 seeds germinate in each box. a. The probability that no seeds germinate in a given box. b. The probability that more than 100 seeds germinate in the four boxes he planted. 4. A fish hatchery takes salmon eggs and hatches them. During the spring, an average of 83 eggs hatch each day. a. The probability that no eggs hatch during a given hour. b. The probability that more than 600 eggs hatch during a week (7 days).
Transcribed Image Text:For each situation given below, do the following: A) Decide if the random variable is Poisson (or reasonably close to Poisson). Explain your reasoning. B) If it is Poisson, find the mean and variance. C) If it is Poisson, find the probabilities indicated in the problem. 1. During the lunch rush, cars arrive at the McDonald's drive-thru line at a rate of 58 cars per hour. The arrivals are random. a. The probability of 0 cars arriving in the next half hour. b. The probability of more than 60 cars arriving in the next half hour. 2. You work for a home security sales team going door-to-door. You average 4.3 sales per day. a. The probability of no sales in a given day. b. The probability of more than 25 sales during a workweek (5 days). c. The probability of at least 250 sales over a 12 workweek summer. 3. Br. Cox plants a fixed number of bean seeds in each of his garden boxes. He is interested in the number that germinate in a given box. On average, 23 seeds germinate in each box. a. The probability that no seeds germinate in a given box. b. The probability that more than 100 seeds germinate in the four boxes he planted. 4. A fish hatchery takes salmon eggs and hatches them. During the spring, an average of 83 eggs hatch each day. a. The probability that no eggs hatch during a given hour. b. The probability that more than 600 eggs hatch during a week (7 days).
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