Question 523347
A basketball team's star 3-point shooter takes six 3- point shots in a game. Historically, he makes 40% of all 3-point shots taken in a game. State at the outset what assumptions you have made.
Independent trials; binomial results;
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(a) Find the probability that at least two shots were made.
P(2<= x <= 6) = 1 - binomcdf(6,0.4,1) = 0.7667
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(b) Find the probability that exactly three shots were made.
P(x = 3) = 6C3*0.4^3*0.6^3 = 0.2765
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(c) Find the mean and standard deviation of the num¬ber of shots made.
mean = np = 6*0.4 = 2.4
std = sqrt(npq) = sqrt(2.4*0.6) = 1.2
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(d) Find the mean and standard deviation of the total number of points scored as a result of these shots.
mean # of points: 2.4*3 = 7.2
std of # of points: 1.2*3 = 3.6
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Cheers,
Stan H.