Chapter 5 - Discrete Probability Distributions - 5-3 The Binomial Distribution - Exercises 5-3 - Page 284: 10

a. $0.9245$ b. $0.9982$ c. $0.3372$

$p=0.103, n=10$ a. No more than 2 drop out $P(X\leq2)=_{10}C_00.103^00.897^{10}+_{10}C_10.103^10.897^{9}+_{10}C_20.103^20.897^{8}=0.9245$ b. At least 6 graduate $P(X\leq4)=0.9245+_{10}C_30.103^30.897^{7}+_{10}C_40.103^40.897^{6}=0.9982$ c. All 10 stay in school and graduate $P(X=0)=_{10}C_00.103^00.897^{10}=0.3372$