Answer to Question #119692 in Statistics and Probability for Arafeen

Question

(A1). Raymond is a basketball player who takes four independent free throws with 70% probability of getting a basket on each shot. Let X be the number of baskets Raymond gets. Find the probability that he gets exactly 2 baskets, to 3 decimal places.

Answer 1

$X \backsim Binomial(4,0.70)\\ P(X=2)=C_{2}^{4}(0.70)^{2}(0.30)^2=0.2646\approx 0.265$