Let A and B be two events such that P(A) = 0.37 and P(B) = 0.03. Do not round your responses. (If necessary, consult a list of formulas.) (a) Determine P (AUB), given that A and B are mutually exclusive. (b) Determine P (A U B), given that A and B are independent.

J and K are independent events. P(J | K) = 0.6. Find P(J).|

Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.35. Find P(E or F) if P(E and F)= 0.20. P(E or F) =| (Simplify your answer.)

TRY IT 4.1 A hospital researcher is interested in the number of times the average post-op patient will ring the nurse during a 12- hour shift. For a random sample of 50 patients, the following information was obtained. Let X = the number of times a patient rings the nurse during a 12-hour shift. For this exercise, x = 0, 1, 2, 3, 4, 5. P(x) = the probability that X takes on value x. Why is this a discrete probability distribution function (two reasons)? P(x) 4 P(x = 0) = 50 8 1 P(x = 1) = 50 16 2 P(x = 2) = 50 14 P(x = 3) = 50 6 4 P(x = 4) = 50 5 P(x = 5) = 50 Table 4.3 3. LO