1. Suppose that you do not know your true success rate at basketball free throws. Out...
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 confidence 92% and asked you to prove it. In the hypothesis-testing world, that is to say:
Based on the trials demonstrated, what is the confidence interval for your true success rate for basketball free-throw shots? (Round to 2 decimal places for the boundaries)
( , )
Based on this confidence interval, is it reasonable for your friend to believe your claim? (type "yes" or "no")
3. Suppose that you were to throw 10 more free-throw shots. Let X represent the number of successes in those free-throws and assume each is independent of one another. Using the point estimate to approximate p, what would be the probability of making at least 7 free throw shots? (Round to 4 decimal places)
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1. Suppose that you do not know your true success rate at
basketball free throws. Out...
Joe is attempting basketball free throws. The probability of success on each attempt is 0.39 and...
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...
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 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. A).0 B).0.376 C).0.624 D).1
Suppose that during practice, a basketball player can make a free throw 85% of the time....
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...
1. An excellent free throw percentage would be something around 90%. That is, such a basketball...
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...
5. Your university star basketball player is having a difficult night of free throws. His long...
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...
A basketball player is fouled while attempting to make a basket and receives two free throws....
A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 34% chance that the player will miss both shots, a 22% chance that he will make one of the shots, and a 44% chance that he will make both shots. a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.) xPx x) b. What is the probability that he makes no more than one...
In a national basketball association, the top free-throw shooters usually have probability of about 0.90 of...
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 is fouled while attempting to make a basket and receives two free throws....
A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 37% chance that the player will miss both shots, a 17% chance that he will make one of the shots, and a 46% chance that he will make both shots. a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.) X P(X + x) 0 1 b. What is the probability that he makes...
Leroy, a starting player for a major college basketball team, made only 27.5% of his free...
Leroy, a starting player for a major college basketball team, made only 27.5% of his free throws last season. During the summer he worked on developing a softer shot in the hope of improving his free-throw accuracy. In the first eight games of this season, Leroy made 29 free throws in 40 attempts. Let p be his probability of making each free throw that he shoots this season. (a) State the null hypothesis H. that Leroy's free-throw probability has remained...
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...
A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 34% chance that the player will miss both shots, a 22% chance that he will make one of the shots, and a 44% chance that he will make both shots. a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.) xPx x) b. What is the probability that he makes no more than one...
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 is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 37% chance that the player will miss both shots, a 17% chance that he will make one of the shots, and a 46% chance that he will make both shots. a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.) X P(X + x) 0 1 b. What is the probability that he makes...
Leroy, a starting player for a major college basketball team, made only 27.5% of his free throws last season. During the summer he worked on developing a softer shot in the hope of improving his free-throw accuracy. In the first eight games of this season, Leroy made 29 free throws in 40 attempts. Let p be his probability of making each free throw that he shoots this season. (a) State the null hypothesis H. that Leroy's free-throw probability has remained...
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