Chapter 5 - Discrete Probability Distributions - 5-3 The Binomial Distribution - Exercises 5-3 - Page 283: 3

a. $0.420$ b. $0.346$ c. $0.590$ d. $0.251$ e. $5.35\times10^{-9}$

a. n=2, p=0.3, X=1 $P(X=1)=0.420$ b. n=4, p=0.6, X=3 $P(X=3)=0.346$ c. n=5, p=0.1, X=0 $P(X=0)=0.590$ d. n=10, p=0.4, X=4 $P(X=4)=0.251$ e. n=12, p=0.9, X=2 $P(X=2)=_{12}C_2(0.9)^2(0.1)^{10}=5.35\times10^{-9}$