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Practice test 2 STAT2004 An experiment has three mutually exclusive outcomes P(A) = .35, P(B) = .40, and P(C) =.25. 1. What is the probability that A or B occurs? Ans: .75 2. What is the probability that both B and C occur? Ans:0 3. How many ways can a committee of 3 people be made from a group of 10? Ans: 120 P(A) = .70, P(B) = .20, and P(A intersect B) = .15. 4. What is P(A union B)? Ans: .75 5. What is P(BC)? Ans: .80 6. What is P(A intersect BC)? Ans: .55 P(A) = .60, P(B) = .45, and P(A intersect B) = .30 7. What is P(A|B)? Ans: .66667 8. What is P(B|A)? Ans: .50 9. Are events A and B independent? Ans: No Let X be a binomial variable with n=7 and p=.4. 10. What is the expected number? Ans: 2.8 11. What is the variance? Ans: 1.68 12. What is the probability that x=2? Ans: .2612736 13. What is the probability of at least 2? Ans: .8413696
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