Solution
Given that ,
p = 0.85
1 - p = 1 - 0.85 = 0.15
n = 20
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 15) = (20 C 15) * (0.85)15 * (0.15)5
= 0.102845
Probability = 0.1028
A basketball player is known to make 85% of their free throw shots. If she is...
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...
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.
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...
basketball player Sheryl Swoopes scores on 85% of her foul shots. If Swoopes has eight foul shots during a game, what is the probability that she will score on exactly seven of them?
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 basketball player with an 85 % free throw percentage (average probability of making a free throw) takes 10 independent free throws and records the outcome. (a) What is the probability of making exactly 6 free throws? (b) What is the probability of making at least one free throw? (c) What is the probability of making between 7 and 10 free throws? (d) What is the probability that the first made free throw is the 3rd shot attempt? (e) What...
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
Steph Curry (a basketball player) can make a free throw 93% of the time. Furthermore, assume that a sequence of free-throw shooting can be thought of as independent Bernoulli trials. Let X = the minimum number of free throws that this player must attempt to make a total of ten shots. What is the PMF of X? What is the probability that the player must attempt 12 shots in order to make ten? What is the expected value and variance...
A basketball player makes each free-throw with a probability of 0.8 and is on the line for a one-and-one free throw. (That is, a second throw is allowed only if the first is successful.) What is the probability that the player will score 0 points? 1 point? 2 points? Assume that the two throws are independent The probability of scoring 0 points is Suppose that in Sleepy Valley only 30% of those over 50 years old own CD players. Find...
Problem 3. During breaks in a basketball game, fans can enter a free throw contest against the team mascot, who is a former player with an 85% career free-throw percentage. The fans' basketball skills are more modest: an average fan has a 45% chance of making a free throw. The fan and the mascot each take one shot (ties are possible). a) What is the probability that the fan wins? b) What is the probability that the mascot wins? c)...