Find the expected value.

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 Falcons’ starting running back injured his knee in last week’s game.  There is a 35% chance that he will play in the next game.  If he can play in the next game, he will likely rush 80 yards.  If he does not play, the backup running back will likely rush 60 yards.  Find the expected value.

Expert Solution
Step 1

Let X denote the rush

X = 80 with a probability of 0.35

 and X = 60 with a probability of 0.65

 

Expected value:

E(X)=80*0.35 + 60*0.65 = 67

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