Suppose that an employee working at Bell Center walks around the stands selling hot dogs. Assume that in each game, the employee will make either $100, $80, $50 or $15 selling hot dogs with probabilities 0.15, .25, .35, and .25 respectively. Let the random variable X represent the profit made by the employee selling hot dogs. Suppose that this employee works for 5 consecutive games and reports you only the maximum profit among the five games. What is the probability of maximum profit in 5 consecutive games being equal to 50$?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Suppose that an employee working at Bell Center walks around the stands selling hot dogs. Assume that in each game, the employee will make either $100, $80, $50 or $15 selling hot dogs with probabilities 0.15, .25, .35, and .25 respectively. Let the random variable X represent the profit made by the employee selling hot dogs. Suppose that this employee works for 5 consecutive games and reports you only the maximum profit among the five games. What is the probability of maximum profit in 5 consecutive games being equal to 50$?

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