Answer:
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.