Math 124. Homework 5. Name:
1. Find the probability of getting atmost four successes in a binomial experiment with eleven trials
and a probability of success p = 0.1. (Using tables in Appendix A.)
2. Find the probability of getting exactly six successes in a binomial experiment with eighteen trials
and a probability of success p = 0.35. (Using tables in Appendix A.)
3. Find the probability of getting four, five, or six successes in a binomial experiment with eighteen
trials and a probability of success p = 0.35. (Using tables in Appendix A.)
4. Find the probability of getting at least six successes in a binomial experiment with eighteen trials
and a probability of success p = 0.35. (Using tables in Appendix A.)
5. Find the probability of getting at least five successes in a binomial experiment with eleven trials
and a probability of success p = 0.7. (Using tables in Appendix A.)
1
B(4; 11, 0.1) = 0.9972
B(6; 18, 0.35) − B(5; 18, 0.35) = 0.5491 − 0.3550
Pr(at least 6 success) = 1 - Pr(at most 5 successes) = 1−B(5;18,0.35) = 1 − 0.3550
B(6; 18, 0.35) − B(3; 18, 0.35) = 0.5491 − 0.0783
Pr(at least 5 success)= Pr(at most 11 - 5 failures) = B(6;11,0.3) = 0.9784
