Abasketball 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. 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

a) x is the number of shots that he makes.

b) There is an 80% probability that he makes no more than one of the shots.

c) There is a 45% probability that he makes at least one of the shots.

Step-by-step explanation:

In this problem, we have these following probabilities:

A 55% probability that the player miss both shoots.

A 25% that he makes one shot.

A 20% probability that he makes both shots.

a. Construct the appropriate probability distribution.

I am going to say that x is the number of shots that he makes. So:

.

b. What is the probability that he makes no more than one of the shots?

There is an 80% probability that he makes no more than one of the shots.

c. What is the probability that he makes at least one of the shots?

There is a 45% probability that he makes at least one of the shots.

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step-by-step explanation: