
Quiz 1 Probability Rules Name: 1. Suppose that A and B are events for which P(A)-0.3,...
S) Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and P(B) = 0.5 What is the probability that (a) either A or B occurs? (b) A occurs and B does not occur? (c) both A and B occur? 4.) A forest contains twenty elk, of which five are captured, tagged and then released. Some time later, four elk are captured from this population. What is the probability that exactly two of these are tagged?...
10. Suppose that A and B are mutually exclusive events for which P(A) 0.4,P(B) 0.3. The probability that neither A nor B occurs equals a) 0.6 b) 0.1 c)0.7 d0.9
Suppose A and B are events in a sample space Ω. Let P(A) = 0.4, P(B) = 0.5 and P(A∩B) = 0.3. Express each of the following events in set notation and find the probability of each event: a) A or B occurs b) A occurs but B does not occur c) At most one of these events occurs
= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and P(ANB) Compute the probability that A will occur, given that B does not occur, A. 0.4 B. 0.1 C. -0.1 D. 0.5 E. none of the preceding
Suppose that A and B are mutually exclusive events for which P(A) = 0.2 and P(B) = 0.7. What is the probability that a. either A or B occurs? b. A occurs but B does not? c. both A and B occur? d. neither A nor B occurs?.
Given the following: A, B, and C are events. P[A] = 0.3 P[B] = 0.3 P[C] = 0.55 P[A intersect B] = 0 P[A' intersect B' intersect C'] = 0.1 P[A intersect C'] = 0.2 (i) Write a set expression for each of the following events a through d. (ii) Find the probability of the event. (Please show all work. Use venn diagrams if necessary). (a) At least one of the events A, B, or C occurs. (b) Exactly one...
Suppose A,B, and C are events such that: P(A)=P(B)=P(C)=0.3, P ( A ) = P ( B ) = P ( C ) = 0.3 , P(AB)=3P(ABC), P ( A & B ) = 3 P ( A & B & C ) , P(A∪C)=P(B∪C)=0.5, P ( A ∪ C ) = P ( B ∪ C ) = 0.5 , and P(AcBcCc)=0.48. P ( A c & B...
Let A and B be events with P(A)=0.3, P (B) -0.3, and P (A and B) -0.1. Part 1 out of 3 Are A and B independent? Explain. The events A and B (select) independent since (select)
2.30 Probability of independent events. Given two independent events A and B with PIA 0.3, PB 0.4, find (a) P[AU B; (b) P[AB); (c) P[BIA); (d) P BA)
l. Suppose that A, B, and C are events such that PLA] = P[B] = 0.3, P[C] = 0.55, P[An B] = For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. (Hint: Draw the Venn Diagram. You may then want to identify the probabilities of each of the disjoint...