The Temple Owls football team will have a match with Duke on September 2,  2022. Suppose that Temple has a 40% chance of winning the game. College  football games cannot end in a tie.
 

a. What is the random variable associated with this game?

b. What is the mutually exclusive event in this case? 

c. Construct a well-labeled probability distribution table based on the  outcomes of this game. 

 

2. After Duke, Temple will play against Rutgers and UCF. The probability for  the Temple to win each game is listed in the table below.
 

Date	Game	Temple Win Probability
SEPTEMBER 2	DUKE	40%
SEPTEMBER 17	RUTGERS	70%
OCTOBER 13	UCF	55%

a. What is the probability that the Temple wins ALL three games?
 
b. What is the probability that Temple loses ONLY ONE of the three  games?

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