Question

In: Statistics and Probability

Jacob is a basketball player who has a 40% probability of successfully making a free throw...

Jacob is a basketball player who has a 40% probability of successfully making a free throw

(a) In practice, Jacob keeps shooting free throws until he makes one in. Then, he stops and runs a lap.

i. What is the probability that he attempts at most 2 free throws before he has to run a lap?

ii. What is the expected number of free throw attempts Jacob makes before he has to run a lap?

(b) In a game, Jacob attempts 10 free throws.

i. What is the probability that he makes at least 5 free throws in this game?

ii. What is the expected number of free throws made by Jacob in this game?

Solutions

Expert Solution


Related Solutions

A basketball player is practicing his free throws. This player's probability of making a free throw...
A basketball player is practicing his free throws. This player's probability of making a free throw over his career is 0.592. He will shoot 140 free throws. a) Define a random variable, and write out the probability mass function for the number of free throws this player makes on his 140 attempts. b) What is the probability that this player makes between 60 and 62 free throws, inclusive? c) What is the expected value and variance of the number of...
It is known that a certain basketball player will successfully make a free throw 87.4% of...
It is known that a certain basketball player will successfully make a free throw 87.4% of the time. Suppose that the basketball player attempts to make 14 free throws. What is the probability that the basketball player will make at least 11 free throws?    Let XX be the random variable which denotes the number of free throws that are made by the basketball player. Find the expected value and standard deviation of the random variable.   E(X)=    σ= Suppose...
Kay has an 80% probability of making a free-throw in basketball,and each free-throw is independent....
Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws, and must make both to win the game. What is the probability that Kay's team will win the game?1. 64%2. 80%3. 88%4. 160% (so 100%)
A basketball player has a 50 % chance of making each free throw. What is the...
A basketball player has a 50 % chance of making each free throw. What is the probability that the player makes at most eight out of ten free throws?
A basketball player has a probability of p = 0.78 to hit a free throw. During...
A basketball player has a probability of p = 0.78 to hit a free throw. During a training session he hits 65 free throws. calculate the probability that the player hits no more than 50 free throws out of the total 65. (correct to 3 decimal places rounded down)
Bob is a high school basketball player. He is a 60% free throw shooter. That means his probability of making a free throw is 0.60.
Please show answer using R commands. Exercise 3: Bob is a high school basketball player. He is a 60% free throw shooter. That means his probability of making a free throw is 0.60. Use R commands to answer the following questions. ( (a) During the season, what is the probability that Bob makes his third free throw on his sixth shot?  (b) What is the probability that Bob makes his first free throw on his sixth shot?
A basketball player makes 40% of his shots from the free throw line. Suppose that each...
A basketball player makes 40% of his shots from the free throw line. Suppose that each of his shots can be considered independent and that he takes 3 shots. Let X = the number of shots that he makes. What is the standard deviation for X? 0.849 0.72 1.2 0.4
A basketball player completes a free throw 80% of the time. In practice the player goes...
A basketball player completes a free throw 80% of the time. In practice the player goes to the free throw line     and takes 5 shots in a row.     a)   Make a table showing the probability distribution of successes and their probabilities     b)   Draw the probability histogram. c) What is the shape of the distribution? d) What is the mean?     e) What is the standard deviation?
To test his free throw skills, a basketball player shoots 200free throw shots in a...
To test his free throw skills, a basketball player shoots 200 free throw shots in a row. He makes 171 of them. Based on this, what is the probability he will make his first free throw in his next game? What method of calculating probability did you use to calculate this?
Study E. A basketball player is practicing making free throws. On average, the probability of her...
Study E. A basketball player is practicing making free throws. On average, the probability of her making a free throw is 0.78. She finds that in the next 50 free throws, she makes 31. Is this outcome significantly more than what would be expected? Assume a = 0.052-tail and independence between shots. Refer to Study E. What is the null hypothesis in terms of the variables in the study Refer to Study E. What is the alternative hypothesis in terms...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT