Question
In: Statistics and Probability
Liam is a professional darts player who can throw a bullseye 70% of the time. If...
Liam is a professional darts player who can throw a bullseye 70%
of the time.
If he throws a dart 250 times, what is the probability he hits a
bulls eye:
a.) At least 190 times?
b.) No more than 180 times?
c.) between 150 and 185 times (including 150 and 185)?
Solutions
orchestra answered 2 years agoRelated Solutions
Liam is a professional darts player who can throw a bullseye 70% of the time. If...
Liam is a professional darts player who can throw a bullseye 70%
of the time.
If he throws a dart 250 times, what is the probability he hits a
bulls eye:
a.) At least 195 times?
b.) No more than 175 times?
c.) between 160 and 195 times (including 160 and
195)?
Use the Normal Approximation to the Binomial distribution to answer
this question.
Liam is a professional darts player who can throw a bullseye 70% of the time. If...
Liam is a professional darts player who can throw a bullseye 70%
of the time.
If he throws a dart 250 times, what is the probability he hits a
bulls eye:
a.) At least 190 times?
b.) No more than 180 times?
c.) between 150 and 185 times (including 150 and 185)?
Liam is a professional darts player who can throw a bullseye 70% of the time. If...
Liam is a professional darts player who can throw a bullseye 70%
of the time.
If he throws a dart 250 times, what is the probability he hits a
bulls eye:
a.) At least 185 times?
b.) No more than 180 times?
c.) between 160 and 185 times (including 160 and 185)?
Use the Normal Approximation to the Binomial distribution to answer
this question.
2. A recent study has shown that 28% of 18-34 year olds check
their Facebook/Instagram feeds...
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?
A basketball player shoots 3 free throws. On each throw, she has a 70% chance of...
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?
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...
Suppose someone tells you they know that thumbtacks land up 70% of the time. You throw...
Suppose someone tells you they know that thumbtacks land up 70%
of the time. You throw 50 thumbtacks in the air, and find that 41
of them land pointing up. Use the sample collected to conduct a
hypothesis test with an α = 0.05 significance level to test the
validity of the claim. Be sure to check the conditions of the test
and state your conclusion in context.
Stephanie Kerry is a very good basketball player. Each time she attempts a free throw, she...
Stephanie Kerry is a very good basketball player. Each time she
attempts a free throw, she misses it with a probability of only 5%
(independently of other free throw attempts). This month, she will
attempt 1000 free throws.
(a) What is the distribution of X, the total number of free
throws that Stephanie misses this month? Give its name and compute
its parameters.
(b) What is the probability that Stephanie will miss at least 61
free throws this month?
(c)...
Consider researching the maximum distance that prospective professional quarterbacks can throw a football. Suppose that 41...
Consider researching the maximum distance that prospective
professional quarterbacks can throw a football. Suppose that 41 NFL
draft prospect quarterbacks were asked to throw a football as far
as they could. For this sample, the mean distance was 68.9 yards
and the sample standard deviation was 5.2 yards. Find a 90%
confidence interval for the true mean maximum distance that the
population of NFL prospect quarterbacks can throw a ball. Also,
find a 90% confidence interval for the true population...
Consider researching the maximum distance that prospective professional quarterbacks can throw a football. Suppose that 41...
Consider researching the maximum distance that prospective professional quarterbacks can throw a football. Suppose that 41 NFL draft prospect quarterbacks were asked to throw a football as far as they could. For this sample, the mean distance was 68.9 yards and the sample standard deviation was 5.2 yards
find a 90% confidence interval for the true population standard deviation of distances
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