Question

A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 37% chance that the player will miss both shots, a 17% chance that he will make one of the shots, and a 46% 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 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.)

Answer 1

a) X p( X)

0 0.37

1 0.17

2 0.46

b)

Probability that no more than one of the shots

probability = P( X $\leq$ 1) = 0.37 + 0.17

Probability = 0.54

c) probability that at least one of the shots

P( X $\geq$ 1) = 0.17 + 0.46

Probability = 0.63