Question

The probability that a certain NBA player makes a free throw is 77%. In one game,...

The probability that a certain NBA player makes a free throw is 77%. In one game, he attempted 12 free throws. What is the probability that he made exactly 3 of them? What is the probability that he made all but one of them? What is the probability that he made more than half of them?

Homework Answers

Answer #1

n = 12

p = 0.77

P(X = x) = nCx * px * (1 - p)n - x

a) P(X = 3) = 12C3 * (0.77)^3 * (0.23)^9 = 0.0002

b) P(X = 1) = 12C1 * (0.77)^1 * (0.23)^11 = 0.00001

c) P(X > 6) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)

                  = 12C7 * (0.77)^7 * (0.23)^5 + 12C8 * (0.77)^8 * (0.23)^4 + 12C9 * (0.77)^9 * (0.23)^3 + 12C10 * (0.77)^10 * (0.23)^2 + 12C11 * (0.77)^11 * (0.23)^1 + 12C12 * (0.77)^12 * (0.23)^0

                  = 0.9626

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a national basketball​ association, the top​ free-throw shooters usually have probability of about 0.80 of...
In a national basketball​ association, the top​ free-throw shooters usually have probability of about 0.80 of making any given free throw. Complete parts a through c. c. Find the probability that the player made all 10 free​ throws, 99 free​ throws, and more than 77 free throws. The probability that the player made all 10 free throws is....
In a national basketball​ association, the top​ free-throw shooters usually have probability of about 0.80 of...
In a national basketball​ association, the top​ free-throw shooters usually have probability of about 0.80 of making any given free throw. a. 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? b. What is the value of n and p c. Find the probability that the player made all 10 free​ throws, 9 free​ throws, and more than 7...
Suppose the probability that Joe Schmo makes a single free throw is .37, and suppose he...
Suppose the probability that Joe Schmo makes a single free throw is .37, and suppose he shoots n = 12 free throws in a particular game. Let Y denote the number of made free throws. a. The distribution of Y is: A. skewed negatively B. not skewed C. skewed positively b. Use the binomial formula to compute the probability that Joe Schmo will make exactly 3 free throws. (5 decimals)       c. What are the least and most likely number...
In a national basketball​ association, the top​ free-throw shooters usually have probability of about 0.85 of...
In a national basketball​ association, the top​ free-throw shooters usually have probability of about 0.85 of making any given free throw. Complete parts a through c. a. During a​ game, one such player shot 9 free throws. Let X equals=number of free throws made. What must you assume in order for X to have a binomial​ distribution? b. specify the values of n and p for the binomial distribution of X in part a. c. find the probability that the...
a. A certain basketball player has a​ 75% free throw percentage. What is the probability that...
a. A certain basketball player has a​ 75% free throw percentage. What is the probability that this player will make exactly two of their next three attempts from the free throw​ line? Show all steps to solve. b. What is the probability that the player will make at least two of their next three​ attempts? Show all steps to solve.
the probability of chester making a free throw in the championship basketball game is 80% and...
the probability of chester making a free throw in the championship basketball game is 80% and each throw is independent of his last throw. assume that chester attempts five throws during the game. what is the probability that he will make less than two of his free throws durinf the game? round three decimal places
In​ basketball, the top free throw shooters usually have a probability of about 0.850 of making...
In​ basketball, the top free throw shooters usually have a probability of about 0.850 of making any given free throw. Over the course of a​ season, one such player shoots 300 free throws. a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. b. By the normal distribution​ approximation, within what range would the number of free throws made almost certainly​ fall? Why? c. Within what range would the proportion made...
Amy is playing basketball. The probability that Amy makes a basket from the free throw line...
Amy is playing basketball. The probability that Amy makes a basket from the free throw line is p = 4/5. The probability of making any free throw is the same regardless of recent attempts made. (a) (1 point) Is the event that Amy makes her second free throw independent of the event that she makes her first free throw? (b) (3 points) A made free throw is worth one point. A miss scores zero points. If Amy takes three free...
Assume a college basketball player makes 75% of his free throws and that the outcome of...
Assume a college basketball player makes 75% of his free throws and that the outcome of free throw attempts are independent. a) The basketball player is fouled and is awarded two free throws. Develop a probability distribution for number of points (free throws made) for the two attempts. b) The basketball player is fouled and is awarded two free throws. What is the expected number of points for the two attempts? c) The basketball player is fouled and is awarded...
Problem 15 Recall that Shaquille OíNealís lifetime free throw percentage is 0:527. Assume that free throw...
Problem 15 Recall that Shaquille OíNealís lifetime free throw percentage is 0:527. Assume that free throw attempts are independent of one another. A teams employs the "Hack-a-Shaq" strategy. In a three-game series, Shaq is fouled 43 times. 1. Find the mean and standard deviation for the number of made free throws by Shaq. 2. Compute the probability that Shaq makes at least 20 free throws. 3. Would it be unusual for Shaq to make at least 30 free throws? 4....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT