Suppose that we have two events, A and B, with
P(A) = 0.50,
P(B) = 0.60,
and
P(A ∩ B) = 0.20.
(a)
Find
P(A | B).
(Round your answer to four decimal places.)
P(A | B)
=
Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60,...
Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.05. If needed, round your answer to three decimal digits. (a) Find P(A | B). (b) Find P(B | A). (c) Are A and B independent? Why or why not? A and B _____ independent, because _____ P(A).
Suppose that we have two events, A and B, with P(A)= 0.50, P(B)=0.60, and P(A ∩ B) = .40 a. Find P(A | B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not?
Suppose that we have two events, A and B, with P(A) = 0.40, P(B) = 0.70, and P(A ∩ B) = 0.20. (a) Find P(A | B). (b) Find P(B | A). (c) Are A and B independent? Why or why not?
Suppose P(A) = 0.30, P(B) = 0.50, and P(B|A) = 0.60. a. Find P(A and B). (5 points) b. Find P(A or B). (5 points) C. Find P(AB). (5 points) SO
Suppose that we have two events, A and B, with P(A) .50, P(B) .50, and PA n B).40 a. Find P(A B) (to 4 decimals) b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? Select 3 because P(A | B) is SelectP(A)
Suppose that A and B are independent events such that P(A) 0.70 and P(B) 0.60. Find P(An B) and P(AUB). (If necessary, consult a list of formulas.) Clear Undo Prev. Question Next Question
For two events, A and B, P(A=0.2, P(B)=0.50, and P(A|B)=0.2. a. Find P(A∩B) .b. Find P(B|A). (Simplify your answer) b. P(B|A)=__________(Simplify your answer.)
15. If A and B are independent events with P(A) = 0.20 and P(B) =0.50, then P(BA) is: a. 0.20 b. 0.50 c. 0.10 d. 0.70 e. 1.00
The prior probabilities for events A1 and A2 are P(A1) = 0.45 and P(A2) = 0.50. It is also known that P(A1 ∩ A2) = 0. Suppose P(B | A1) = 0.20 and P(B | A2) = 0.05. If needed, round your answers to three decimal digits. a) Are A1 and A2 mutually exclusive? b) Compute P(A1 ∩ B) and P(A2 ∩ B). c) Compute P(B). d) Apply Bayes’ theorem to compute P(A1 | B) and P(A2 | B).
a. The events A and B are mutually exclusive. Suppose P(A) = .37 and P(B) = .38. What is the probability of either A or B occuring? (Round your answer to 2 decimal places.) Probability of either A or B b. What is the probability that neither A nor B will happen? (Round your answer to 2 decimal places.) Probability of neither A nor B