#8. Let A and B be two independent events with P(A)-0.4 and P(A U B)-0.64. What...
For two events A and B, P(A)=0.4 and P(B)=0.3 (a) If A and B are independent, then P(A|B)= P(A∪B)= P(A∩B)= (b) If A and B are dependent and P(A|B)=0.6, then P(A∩B)= P(B|A) = 2. All that is left in a packet of candy are 8 reds, 2 greens, and 3 blues. (a)What is the probability that a random drawing yields a green followed by a blue assuming that the first candy drawn is put back into the packet?
7. Let A and B be two events with P(A) 0.2 and P(B) = 0.4. What are the possible values for P(An B) and P(AU B)? (Hint: see Example 17 in Lecture 1)
1 point) lf P(A)-0.4, P(B)-0.4, and P(A U B) 0.74, then (a) Are events A and B independent? (enter YES or NO) NO (b) Are A and B mutually exclusive? (enter YES or NO) NO
Let P(A) = 0.4 P(B) = 0.5 P(A|B) = 0.2 (Please show working). If the events a and b are independent, calculate the P(A and B) If the events a and b are not independent, calculate the P(A and B) If the events a and b are mutually exclusive, calculate the P(A or B)
Let A and B be two events such that P(A)=0.40, P(B)=0.5 and P(A|B)=0.4. Let A′ be the complement of A and B′ be the complement of B. (give answers to two places past decimal) 1. Compute P(A′). 2. Compute P (A ∪ B). 3. Compute P (B | A). 4. Compute P (A′ ∩ B).
Let E and F be two events of an experiment with sample space S. Suppose P(E)= 0.4, P(F)=0.3, P(E U F) =0.5, Find P(F|E) and determine if the two events are independent. A) P(F|E)= 3/4, E and F are independent. B) P(F|E)= 3/4, E and F are not independent. C) P(F|E)=1/2 , E and F are independent. D) P(F|E)= 1/2, E and F are not independent.
If A and B are independent events with P(A) = 0.4 and P(B) = 0.35, then P(A ∩ B) = a. 0.14 b. 0.25 c. 0.86 d. 0.75
For two events, A and B, P(A) = 0.4 and P(B) = 0.3 (a) If A and B are independent, find ?(? ∩ ?), ?(?|?), ?(? ∪ ?). (b) If A and B are dependent with ?(?|?) = 0.6, find ?(? ∪ ?),?(?|?).
For two events, A and B, P(A) = 0.4 and P(B) = 0.3 (a) If A and B are independent, find ?(? ∩ ?), ?(?|?), ?(? ∪ ?). (b) If A and B are dependent with ?(?|?) = 0.6, find ?(? ∪ ?),?(?|?).
Events A and B are independent with p(A) - 0.2 and p(B) - 0.4. Find p(A union B). O 0.52 0.08 O 0.6