During the 2015 season, lebron james\' free throw percentage was 71% p=0.71 a) w

Question

During the 2015 season, lebron james' free throw percentage was 71% p=0.71 a) what is the probability that he makes exactly 6 of 8 attempts
b) what is the probability that he makes AT LEAST 2 of 8
c) assuming he attempted 8 per game for the first 20 games and the # of successes are counted, what is the expected value and variance of the distribution? During the 2015 season, lebron james' free throw percentage was 71% p=0.71 a) what is the probability that he makes exactly 6 of 8 attempts
b) what is the probability that he makes AT LEAST 2 of 8
c) assuming he attempted 8 per game for the first 20 games and the # of successes are counted, what is the expected value and variance of the distribution? a) what is the probability that he makes exactly 6 of 8 attempts
b) what is the probability that he makes AT LEAST 2 of 8
c) assuming he attempted 8 per game for the first 20 games and the # of successes are counted, what is the expected value and variance of the distribution?

Explanation / Answer

Here we will solve it by using Binomial distribution with n=8 and p=0.7

a.P(he makes exactly 6 of 8 attempts)=P(X=6)

=0.2964 ,,,,,,,,,,,,,,,,Using Excel function ,=BINOMDIST(6,8,0.7,0)

b.P(He makes AT LEAST 2 of 8) = P(X>=2)=1-P(X<2)

=1-P(X<=1)

=1-0.00129 ......................(Using excel function'=BINOMDIST(1,8,0.7,1)')

=0.9987

E(X)=n*p=8*0.7=5.6

V(X)=n*p*q=1.68

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