Suppose that A and B are two events for which P(A) = 0.2, P(B) = 0.75, and P(B given A) = 0.37. Find each of the following: A. P(A and B) = B. P(A or B) = C. P(A given B)
Suppose that A and B are two events for which P(A) = 0.2, P(B) = 0.75,...
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?.
(1 point) Suppose that A and B are two events for which P(A)-0.15. P(B) A. P(A and B) B. P(A or B) 0.72, and P(BIA)-0.38 Find each of the following:
For two events, A and B, P(A)=0.2, P(B)=0.5 and P(A|B=0.2. a. Find P(A∩B)= b. Find P(B|A).=
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.)
Let A and B be any two events. If P(A) = 0.2, P(B) = 0.8 and P(A and B) = 0.6, Which probability is possible Select one: a. both b. P(B|A) c. none d. P(A|B)
Suppose we have two events A and B. Suppose further that P(A) - 0.1, PB)-0.2, and P(AUB) = 0.3. a. [2 marks] Calculate P(A NB) b. [2 marks] Use the mathematical definition of independence to determine if A and B are independent. Conclude in a single sentence. Use only one of the two appropriate c. [2 marks] Use the mathematical definition of mutual exclusivity to determine if A and Bare mutually exclusive. Conclude in a single sentence. MacBook Air #58...
Suppose A and
B are two events for which
P(A) =0.18,
P(B) = 0.45, and
P(A or
B) = 0.54.
Find P( A and B)
Find
Are A and B
mutually
exclusive?
(Support your answers!)
Are A and B
independent?
Tesponse. Question 6 Let A and B be two events, such that P(A)=0.6, P(B)=0.4 and P((not A) and (not B))=0.2. (6 Please give your answer as simplified fraction or decimal number (e.g. 3/4 or 0.75) a) Find P(A or B)= 0.76 b) Find P((not A) and (B))= || I c) Find P( AB)=
Consider three random events, A, B and C. Suppose that P(A) = 0.5, P(A∩C) = 0.2, P(C) = 0.4, P(B) = 0.4, P(A∩B∩C) = 0.1, P(B∩C) = 0.18, and P(A∩B) = 0.21. Calculate the following probabilities: c. P((B∩C)c ∪(A∩B)c)
Consider two events A and B. It is known that P(A) = 0.3, P(B|A) -0.2 and Calculate the following. Enter your answers to at least four decimal places accuracy. P(B|AC) = 0.3. (a) P(AC) - $ (b) P(B) - (c) P(ANB) (d) P(AB) = 3