Answer:
P(X = 4) = 0.1876
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this question:
We want P(X = 4). So
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.