Suppose a basketball player is an excellent free throw shooter and makes 91% of his free throws (i
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 (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.
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?
1. An excellent free throw percentage would be something around 90%. That is, such a basketball player would make 90% of the free throws (foul shots) they took. If the player is given 6 chances to take a free throw shot in a game: 1a. Calculate the probability that this type of player makes all 6 of their free throw shots. 1b. Calculate the probability that this type of player misses all 6 of their free throw shots. 1c. Calculate...
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...
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...
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...
11) An 80% free throw shooter takes 4 free throws. Find the probability that the shooter a) makes all 4 shots b) misses all 4 shots c) makes at least 1 shot
Suppose that during practice, a basketball player can make a free throw 85% of the time. Furthermore, assume that a sequence of free-throw shooting can be thought of as independent Bernoulli trials. Let X be the minimum number of free throws that this player must attempt to make a total of ten shots. (a) What is the expected value and variance of X? Show your work. (b) What is the probability that the player must attempt 15 or fewer shots...
5. Your university star basketball player is having a difficult night of free throws. His long range probability of making free throws is 80%, however, tonight he only made 2 out of 4 shots. Fans think he was nervous. Let's use simulation to see how likely it is for him to only make 2 out of 4 shots. Random Assignment: Let numbers 0-7 represent "Making the Shot Let numbers 8, 9 represent "Missing the Shot" Use the random number generator...