The number of home runs in a baseball game is assumed to have a Poisson distribution with a mean of 3. As a promotion, a company pledges to donate $10,000 to charity for each home run hit up to a maximum of 3. Find the expected amount that the company will donate. Another company pledges to donate C for each home run over 3 hit during the game, and C is chosen so that the second company's expected donation is the same as the first. Find C.

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 number of home runs in a baseball game is assumed to have a Poisson distribution with a mean of 3. As a promotion, a company pledges to donate $10,000 to charity for each home run hit up to a maximum of 3. Find the expected amount that the company will donate. Another company pledges to donate C for each home run over 3 hit during the game, and C is chosen so that the second company's expected donation is the same as the first. Find C.
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