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A basketball player is fouled while attempting to make a basket and receives two

ID: 3126110 • Letter: A

Question

A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 55% chance that the player will miss both shots, a 25% chance that he will make one of the shots, and a 20% chance that he will make both shots.

Construct the appropriate probability distribution. (Round your answers to 2 decimal places.)

What is the probability that he makes no more than one of the shots? (Round your answer to 2 decimal places.)

What is the probability that he makes at least one of the shots? (Round your answer to 2 decimal places.)

A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 55% chance that the player will miss both shots, a 25% chance that he will make one of the shots, and a 20% chance that he will make both shots.

Explanation / Answer

x        P(X = x) 0 0.55 1 0.25 2 0.2 Total           1 b) P(X=0 or 1) 0.55+0.25` 0.8 c) P(X>0) 1-0.55 0.45

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