Chapter 5 - Discrete Probability Distributions - 5-3 The Binomial Distribution - Exercises 5-3 - Page 284: 9

a. $0.124$ b. $0.9124$ c. $0.0165$

$p=0.77, n=8$ a. All drive to work alone $P(X=8)=_8C_80.77^80.23^0=0.124$ b. More than one-half drive to work alone $P(X\gt4)=_8C_50.77^50.23^3+_8C_60.77^60.23^2+_8C_70.77^70.23^1+0.124=0.9124$ c. Exactly 3 drive to work alone $P(X=3)=_8C_30.77^30.23^5=0.0165$