Solution Found!
Consider four independent events A1, A2, A3, and A4, and
Chapter 3, Problem 112E(choose chapter or problem)
Consider four independent events ?A?1, ?A?2, ?A?3, and ?A?4, and let pi = P(A) for I = 1,2,3,4. Express the probability that at least one of these four events occurs in terms of the ?p?is, and do the same for the probability that at least two of the events occur.
Questions & Answers
QUESTION:
Consider four independent events ?A?1, ?A?2, ?A?3, and ?A?4, and let pi = P(A) for I = 1,2,3,4. Express the probability that at least one of these four events occurs in terms of the ?p?is, and do the same for the probability that at least two of the events occur.
ANSWER:Problem 112E Answer: Step1: We have four independent events A , A , A , A and 1 2 3 4 Let p =i(A) , i =i,2,3,4. We need to Express the probability that at least one of these four events occurs in terms of the p is, and do the same for the probability that at least two of the events occur. Step2: Consider, the probability that none of these events occurs is q = 1 - p = P(A ) i i 1i Let “x” denotes