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What is the probability the player makes exactly 6 of their 10 attempts? (That is, find...

What is the probability the player makes exactly 6 of their 10 attempts? (That is, find P(X=6). Follow the examples on HB p. 19 and use Table C.)

On average, how many of their 10 shots should the player expect to make?

Our dedicated basketball player, attempts 10 free throws every day for the next year. Most days they will successfully make 3, 4 or 5 shots. Some days they will get really lucky and make 7, and other days get really unlucky and make only 1.

Assuming they remain a 40% free throw shooter, what is the standard deviation in how many shots they will successfully make out of 10.

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Answer #1

What is the probability the player makes exactly 6 of their 10 attempts? (That is, find P(X=6). Follow the examples on HB p. 19 and use Table C.)

p = 0.40

n = 10

P(X=6) =

On average, how many of their 10 shots should the player expect to make?

Expected value = n*p = 10*0.40 = 4

Our dedicated basketball player, attempts 10 free throws every day for the next year. Most days they will successfully make 3, 4 or 5 shots. Some days they will get really lucky and make 7, and other days get really unlucky and make only 1.

Assuming they remain a 40% free throw shooter, what is the standard deviation in how many shots they will successfully make out of 10.

Standard deviation =

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