In: Statistics and Probability
A) Suppose the probability that a mosquito dies when subjected to a 1 unit of insecticide is 0.7, and the probability that a fly dies when subjected to the same dose of insecticide is 0.5. Assuming independence, what is the probability that both the fly and mosquito die when subjected to 1 unit of insecticide
B) Suppose A and B are events where the probability that B occurs is 0.3, and the probability that both A and B occur is 0.18. The conditional probability of A, given B, is
C) Suppose A and B are independent events, each occurring with probability 0.3 What is the probability that A does not occur and B does not occur?
D) Suppose A and B are disjoint events where A has probability 0.5 and B has probability 0.4. The probability that A or B occurs is
E) Suppose A and B are events where the conditional probability of A, given B, is 0.9, and the probability of B is 0.3. The probability that A and B both occur is