Bob is a basketball player shooting free throws; his coach wants him to focus on

Question

Bob is a basketball player shooting free throws; his coach wants him to focus on his shooting motion, so he blindfolds Bob and tells him to shoot until he makes a shot. Suppose that, blindfolded, Bob has a 2% chance of making a given shot; let X = the number of attempts Bob makes.
a) What is the probability that he will have to shoot over 100 times until he makes his first basket? (Answer: = 0:1326.)

b) Suppose that Bob missess his rst 100 shots; given this information, what is the probability that he will need to shoot over 201 times until he makes his first basekt? (Answer: = 0:1299)

c) What part of this story would need to change to turn it into a Binomial question?

Explanation / Answer

a) probability that he will have to shoot over 100 times until he makes his first basket=P(till 100 shots no basket)

=(1-0.02)100 =0.13262

b)P(X>201|X>100) =P(X>201)/P(X>100) =(0.98)201/(0.98)100 =0.98101 =0.129967

c)that untill he makes his first basket if we change it can be binomial

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects