A basketball player shoots 3 free throws. On each throw, she has
a 70% chance of making the shot. Assume the outcomes of the throws
are independent. What is the probability that she makes the first
two free throws and then misses the last one?
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%)
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...
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...
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 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)
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 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?
A basketball player was an 84% free throw shooter.
a. At the moment you turn the game on he is 5 of 7 shooting from
the free-throw line. What is the probability that he made 5 of his
first 7 shots?
b. What is the probability that he made his 5th shot on his 7th
attempt?
c. What is the probability that he made his first shot on his third
attempt?
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...