12. (10 points) A college basketball player makes 90% of his free throws. Assuming free-throw attempts...
12. (10 points) A college basketball player makes 90% of his free throws. Assuming free-throw attempts are independent. Over the course of the season, he will attempt 100 free throws. a) Use binomial distribution to find the exact probability that the number of free throws he makes is between 85 and 95, inclusive b) Check the conditions for using the normal appreciation to the binomial distribution. c) Use normal approximation to estimate the probability that the number of free throws...
380 free throws u In basketball, the top free throw shooters usually have a probability of about 0.90 of making any given free throw. Over the course of a season, one such player shoots a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes b. By the normal distribution approximation, within what range would the number of free throws made almost certainly fall? Why? c. Within what range would the proportion...
Suppose a basketball player is an excellent free throw shooter and makes 91% of his free throws (i.e., he has a 91% chance of making a single free throw). Assume that free throw shots are independent of one another. Suppose this player shoots five free throws. Find the probability that he makes all five throws.
Suppose a basketball player is an excellent free throw shooter and makes 91% of his free throws (i.e., he has a 91% chance of making a single free throw). Assume that free throw shots are independent of one another. Suppose this player shoots five free throws. Find the probability that he makes all five throws. A).0 B).0.376 C).0.624 D).1
A college basketball player makes 80% of his free throws. At the end of a game, his team is losing by two points. He is fouled attempting a 3-point shot and is awarded three free throws. Assuming each free throw is independent, what is the probability that he makes at least one of the free throws?
In basketball, the top free throw shooters usually have a probability of about 0.80 of making any given free throw. Over the course of a season, one such player shoots 330 free throws. a) Find the mean and standard deviation of the probability distribution of the number of free throws he makes. (b) By the normal distribution approximation, within what range would the number of free throws made almost certainly fall? Why? (c) Within what range would the proportion made...
Suppose a basketball player makes 80% of her free throws. Let X be the number of free throws that she makes in the next n = 10 attempts. Note that X has a binomial distribution with n = 10 and p = 0.8. Find the probability that she makes 6 of her 10 attempts, denoted by P(X = 6).
Suppose a basketball player is an excellent free throw (shots awarded when a player is fouled) shooter and makes 80% of his free throws (or he has and 80% chance of making a single free throw). Assume that free throw shots are independent of one another. Suppose this player gets to shoot four free throws. Find the probability that he makes four consecutive free throws.
Suppose you have a friend on the school basketball team but, unfortunately, he is not a good free throw shooter. Over the course of his career, he has only made 40% of his shots. Otherwise, he is a good player and gets fouled a lot so he shoots 10 free throws a game, on average. In the biggest game of the season, he does very well and makes 6 out of 10 free throw attempts. ? A. Assuming that each...
A basketball player with an 85 % free throw percentage (average probability of making a free throw) takes 10 independent free throws and records the outcome. (a) What is the probability of making exactly 6 free throws? (b) What is the probability of making at least one free throw? (c) What is the probability of making between 7 and 10 free throws? (d) What is the probability that the first made free throw is the 3rd shot attempt? (e) What...