. State College is playing a rival team for the football championship. If State's first- tring quarterback is healthy, State College has a 75% chance of winning. If they have to tart their backup quarterback, their chances of winning drop to 40%. The team physician ays that there are a 70% chance that the first-string quarterback will play. 1. What is the probability that State will win that game?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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7. State College is playing a rival team for the football championship. If State's first-
string quarterback is healthy, State College has a 75% chance of winning. If they have to
start their backup quarterback, their chances of winning drop to 40%. The team physician
says that there are a 70% chance that the first-string quarterback will play.
a. What is the probability that State will win that game?
b. Suppose that you miss the game but you read in the headlines of Sunday's paper that
State won. What is the probability that the second-string quarterback started?
Transcribed Image Text:7. State College is playing a rival team for the football championship. If State's first- string quarterback is healthy, State College has a 75% chance of winning. If they have to start their backup quarterback, their chances of winning drop to 40%. The team physician says that there are a 70% chance that the first-string quarterback will play. a. What is the probability that State will win that game? b. Suppose that you miss the game but you read in the headlines of Sunday's paper that State won. What is the probability that the second-string quarterback started?
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