Question 6 1 poi Given the following tree diagram: 0.85 θ.45 0.3 0.7 Q: Find P(B...
Given events A, B with P (A-0.5. P (B) 0.7, and P (A n B)-0.3, find: 4286 4286 P(BA) .6 .6 .333 6
= 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
8-10 0.4, P(B)0.5, and P(A UB)-0.7, find P(An B) P(A' U B') 6. If P(A) a. b. 7. A coin is tossed 4 times and the sequence of heads and tails is observed a. b. What is the sample space S for this experiment? Consider the following events: A [at least 3 heads) B- (at most 2 heads) C- (heads on the 3rd toss) D - [1 head and 3 tails) If the outcomes in S are equally likely, find...
7-10 help 0.4, P(B)0.5, and P(A UB)-0.7, find P(An B) P(A' U B') 6. If P(A) a. b. 7. A coin is tossed 4 times and the sequence of heads and tails is observed a. b. What is the sample space S for this experiment? Consider the following events: A [at least 3 heads) B- (at most 2 heads) C- (heads on the 3rd toss) D - [1 head and 3 tails) If the outcomes in S are equally likely,...
Help 8-10 0.4, P(B)0.5, and P(A UB)-0.7, find P(An B) P(A' U B') 6. If P(A) a. b. 7. A coin is tossed 4 times and the sequence of heads and tails is observed a. b. What is the sample space S for this experiment? Consider the following events: A [at least 3 heads) B- (at most 2 heads) C- (heads on the 3rd toss) D - [1 head and 3 tails) If the outcomes in S are equally likely,...
6-10 help 6. If P(A) 0.4, P(B) 0.5, and P(A UB) 0.7, find a. P(A n B) b. P(A' U B') 7. A coin is tossed 4 times and the sequence of heads and tails is observed a. b. What is the sample space S for this experiment? Consider the following events: A [at least 3 heads) B- (at most 2 heads) C = {heads on the 3rd toss) D- (1 head and 3 tails) If the outcomes in S...
2.9 a) Suppose that P(AU B) 0.8 and P(A'UB) 0.7. Find P(B). Hint: Fill out a Venn diagram.] b) Suppose that P(C) = 0.1 and P(D) 0.3. What are the possible values for P(C'D)?
2.40 Given that P(A)0.3, P(B) 0.5 and P(B|A)0.4, find the following a) P(AB) b) P(A|B) e) P(A'IB) d) P(AIB)
2. Given: P(A) = 0.4, P(B) = 0.7, and A and B are independent events. (a) (2 points) Find P(A and B) (b) (2 points) Find PA and B) (b) (c) (3 points) Construct the Venn diagram. А B @ (d) (2 points) Find P(B) (d) (f) (2 points) Find P(A or B) (g) (2 points) Find P(BA) EC
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...