A basketball player participates in a one-and-one free throw situation. The player has a 70% free throw percentage. What is the average number of points this player will get in 100 one-and-one free throw situations?

The average number of points this player will get in 100 one-and-one free throw situations is 70.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player makes it, or he does not. The probability of the player making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

70% free throw percentage.

This means that

What is the average number of points this player will get in 100 one-and-one free throw situations?

This is E(X) when n = 100. So

The average number of points this player will get in 100 one-and-one free throw situations is 70.

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