A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 28% chance that the player will miss both shots, a 22% chance that he will make one of the shots, and a 50% chance that he will make both shots. a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.) x P(X = x) 0 1 2 b. What is the probability that he makes no more than one of the shots? (Round your answer to 2 decimal places.) Probability c. What is the probability that he makes at least one of the shots? (Round your answer to 2 decimal places.) Probability

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A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a
28% chance that the player will miss both shots, a 22% chance that he will make one of the shots, and a 50% chance that he will make
both shots.
a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.)
x
P(X = x)
0
1
2
b. What is the probability that he makes no more than one of the shots? (Round your answer to 2 decimal places.)
Probability
c. What is the probability that he makes at least one of the shots? (Round your answer to 2 decimal places.)
Probability
Transcribed Image Text:A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 28% chance that the player will miss both shots, a 22% chance that he will make one of the shots, and a 50% chance that he will make both shots. a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.) x P(X = x) 0 1 2 b. What is the probability that he makes no more than one of the shots? (Round your answer to 2 decimal places.) Probability c. What is the probability that he makes at least one of the shots? (Round your answer to 2 decimal places.) Probability
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