The event that “A or B but not both” will occur can bewritten as (A ∩ B)∪(A ∩ B) Express the probability of this event in terms of P(A),P(B), and P(A ∩ B).

) Suppose that events A and B are independent. Show that p(A | B) + p(B)(1-p(A)) - P(A ∪ B) = 0.

P(A) + P(B) = 1 for any events A and B that are mutually exclusive.    True  False

O Whats inside of blo. S Watch Cra zy Rich A Car inspection: Of all the registered automobiles in a city, 6% fail the emissions test. Nine automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Part 1 of 4 (a) Find the probability that exactly four of them fail the test. The probability that exactly four of them fail the test is Part 2 of 4 (b) Find the probability that fewer than four of them fail the test. The probability that fewer than four of them fail the test is Part 3 of 4 (c) Find the probability that more than three of them fail the test., The probability that more than three of them fail the test is

Show that for any events A and B, P (A ∩ B) ∪ (A ∩ B) = P(A) + P(B) − 2P(A ∩ B)