For this problem, assume that Pr[A∪B]=0.85and Pr[A]=0.3. (1) What is Pr[B]Pr[B] if A and B are independent events?   (2) What is Pr[B]Pr[B] if A and B are disjoint events?

For this problem, assume that 11 % withdraw, 14 % receive an A, 18 % receive a B, 35 % receive a C, 14 % receive a D, and 8 % receive an F. (1) What probability should be assigned to the event "pass the course"?    (2) What probability should be assigned to the event "withdraw or fail the course"?

Quesiton 27

Q2: Two numbers x and y are selected at random between zero and one. Let the events A, B, and C be defined as follows: A = (x > 0.6), B = (y > 0.2), and C = (x > 2y). Are the events A and B independent? Are A and C independent?

A bag contains 9 Blue balls, 5 Red balls, and 7 Green balls. Two balls are going to be drawn from the bag (one at a time) and then put to the side (they are not returned to the bag). Let event B = blue ball chosen, R = Red ball chosen, and G = Green ball chosen. What is P(BR)? Write an answer to 4 decimal places. Ih

By rewnting the formula for the multiplication rule, you can write a formula for finding P(A and B) P(A) conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B A)= Use the information below to find the probability that a flight departed on time given that it arrives on time. The probability that an airplane flight departs on time is 0.91. The probability that a flight arrives on time is 0.89. The probability that a flight departs and arrives on time is 0.82. The probability that a flight departed on time given that it arrives on time is. (Round to the nearest thousandth as needed.) es

9. By rewriting the formula for the Multiplication Rule, you can write a formula for finding P(A and B) conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B| A) = P(A) the information below to find the probability that a flight arrives on time given that it departed on time. The probability that an airplane flight departs on time is 0.92. The probability that a flight arrives on time is 0.86. The probability that a flight departs and arrives on time is 0.83. The probability that a flight arrives on time given that it departed on time is (Round to the nearest thousandth as needed.) . Use

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.9. (a) What is the probability that he must stop at both signals? X (b) What is the probability that he must stop at the first signal but not at the second one? X (c) What is the probability that he must stop at exactly one signal?

When randomly selecting adults, let M denote the event of randomly selecting a male and let B denote the event of randomly selecting someone with blue eyes.   What does P(M|B) represent? Is P(M|B) the same as P(BIM)?

Suppose that A and B are independent events such thatP(A)3D0.10 and P (B) 0.60. Find P (A N B) and P (A U B). (If necessary, consult a list of formulas.) (a) P(4 n B) = 0 (b) P(4 U B) = ]