Joe is attempting basketball free throws. The probability of
success on each attempt is 0.39 and his consecutive attempts are
independent of each other. Answer the following questions. If Joe
attempts three free throws, what is the probability he has at least
one success?
(a) Let X be the number of attempts required for Joe to observe his
first successful free throw. What kind of discrete random
distribution for X? (Binomial, Poisson, or none of them)
(b) If Joe attempts 17 free throws, what is the probability he has exactly 7 successes?
Joe is attempting basketball free throws. The probability of success on each attempt is 0.39 and...
1. Suppose that you do not know your true success rate at basketball free throws. Out of the 17 attempts, you were able to make 9 of them. a) What is the point estimate associated to the true probability of success p? (4 decimals) b) What is the standard error associated to this estimate? (4 decimals) 2. Suppose that you claimed to someone that you can make basketball free-throw shots 80% of the time. Someone didn't believe you with a level of...
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?
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...
In a national basketball association, the top free-throw shooters usually have probability of about 0.90 of making any given free throw. Complete parts a through c. a. During a game, one such player shot 10 free throws. Let X=number of free throws made. What must you assume in order for X to have a binomial distribution? A. It is assumed that the data are not binary. B.It is assumed that the data are binary, that probabilities of success for trials...
In a national basketball association, the top free-throw shooters usually have probability of about 0.90 of making any given free throw. Complete parts a through c. a. During a game, one such player shot 11 free throws. Let X = number of free throws made. What must you assume in order for X to have a binomial distribution? A. It is assumed that the data are binary, that there is the same probability of success for each trial (free throw),...
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...
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.
There are eight players on a basketball team. They are practicing their free throws by having each player shoot two free throws. The table below shows the results of each player's free throw attempts, where N represents a missed free throw and Y represents a made free throw. Construct the probability distribution of X for the number of free throws made by th players. Arrange a in increasing order and write the probabilities P(z) as simplified fractions. Player Player rPlayer...
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.