Hi

The probability that a player makes a free throw is 0.60. In 3 free throws, find the probability that the player makes:

Note: The probability of x successes in n trials is: 

P = nCx*  where p and q are the probabilities of success and failure respectively. 

In this case p = .6 & q =.4

nCx = 

a. exactly 3 free throws = .6^3 = .216

b. at least 1 free throw = 1 - .4^3 = 1 -.064 = .936

c. an odd number of free throws (1 '0r' 3) = 3*.6*.4^2 + .6^3 = .288 +.216

d. if X=number of free throws a player can successfully make. Compute the value of the following:

i. Mean = .6X                      |mean = np

ii. Variance = .6*.4*X = .24X      |variance = npq

 

RELATED QUESTIONS

The probability that a basketball player makes his free throws is 0.7.  What is the... (answered by Solver92311)

The probability that a basketball player makes his free throws is 0.7.  What is the... (answered by CPhill)

A basketball player has a 50% chance of making each free throw. What is the probability... (answered by 41 years)

A basketball player makes 145 out of 180 free throws. We would estimate the probability... (answered by Fombitz)

Suppose a basketball player is an excellent free throw shooter and makes 97% of his free... (answered by schmidtmomto6)

A basketball player makes free throws with a 0.65 probability.  What is the probability... (answered by solver91311)

A basketball player makes free throws with a 0.7 probability.  What is the probability... (answered by stanbon)

A basketball player has a 70% free throw shooting average, which can be interpreted to... (answered by jim_thompson5910)