Suppose a basketball player makes 80% of her free throws. Let X be the number of free throws that she makes in the next n = 10 attempts. Note that X has a binomial distribution with n = 10 and p = 0.8. Find the probability that she makes 6 of her 10 attempts, denoted by P(X = 6).
P(X=x)=nCx px q(n-x)
n = 10, x = 6 , p = .8 , q = 1-p =.2
P(X= 6) =10C6 (.8)6(.2)4 = 210 * .262*.0016 = 0.088
Suppose a basketball player makes 80% of her free throws. Let X be the number of...
12. (10 points) A college basketball player makes 90% of his free throws. Assuming free-throw attempts are independent. Over the course of the season, he will attempt 100 free throws. a) Use binomial distribution to find the exact probability that the number of free throws he makes is between 85 and 95, inclusive b) Check the conditions for using the normal appreciation to the binomial distribution. c) Use normal approximation to estimate the probability that the number of free throws...
12. (10 points) A college basketball player makes 90% of his free throws. Assuming free-throw attempts are independent. Over the course of the season, he will attempt 100 free throws. a) Use binomial distribution to find the exact probability that the number of free throws he makes is between 85 and 95, inclusive. b) Check the conditions for using the normal appreciation to the binomial distribution c) Use normal approximation to estimate the probability that the number of free throws...
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.
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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
4. A basketball player practices making 100 free throws every day. The probability that she makes each free throw is p=0.6. You may assume that each free throw's outcome is independent of every other free throw's outcome. a) What is the probability that she makes all 100 free throws? b) What is the probability that she makes half of the 100 free throws? b) What is the expected number of free throws that she misses? c) What is the variance...
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Suppose a basketball player is an excellent free throw (shots awarded when a player is fouled) shooter and makes 80% of his free throws (or he has and 80% chance of making a single free throw). Assume that free throw shots are independent of one another. Suppose this player gets to shoot four free throws. Find the probability that he makes four consecutive free throws.
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