P(A) = 0.42, P(B | A) = 0.66, and P(B | A) = 0.25. Find the following: P(A), P(B | A), P(B | A), P(B), P(A | B), P(A | B), P(A | B), P(A | B)

Q: If P(B) = 1/4 and P(A|B) = 1/2, what is P(A^ B)?

A: P(B¯) = 1/4P(A|B) = 1/2We have to determine P(A∩B).

Q: to find: AxB, BxA A=(-2; 0]  ∪ [3; 5) B=[1; 2]  ∪ (4; 7)

A: So We have: A=(-2; 0]  ∪ [3; 5) B=[1; 2]  ∪ (4; 7) Now, Finding the Cartesian product of A×B Every…

Q: Given P(A) = 0.2, P(B) = 0.7, P(A | B) = 0.5, do the following: (a) Compute P(A and B). (b)…

A:

Q: Given P(A) = 0.78, P(B) = 0.45, and P(B|A) = 0.97, what is P(A and B)?

A:

Q: proot p(cn ANB) - ecen B)-p(ANB) P(B) PCB).

A:

Q: Given P(A) = 0.38, P(B) = 0.44, P(A or B) = 0.27, what is P(A and B)?

A: P(AUB)=P(A)+P(B)-P(A∩B)

Q: P(A)=0.7 P(B)=0.4 P(A or B)=0.3 Find P(A and B)

A: Solution: From the given information, P (A)=0.7, P(B)=0.4 and P(A or B)=0.3.

Q: Given P(A) = 0.03, P(B) = 0.42, P(B|A) = 0.28, what is P(A and B)

A: GivenP(A)=0.03P(B)=0.42P(B|A)=0.28

Q: P(A)=0.57, P(B)=0.7, AND P(A+B)=0.42 Find P(A+B)   Please help

A: Note:Thank you for the question. However, in the question, it is given that P (A + B) = 0.42, and…

Q: Given P(A and B) = 0.02, P(B) = 0.80, P(B|A) = 0.73, what is P(A)?

A: Conditional probability formula P(B|A) = P(A and B) /P(A)

Q: If P(A) = 0.7, P(B) =0.2, and A and B are mutually exclusive, find P (A or B). P(4 or B) = D

A:

Q: = 0.40, what is P(A)?

A: Independent event- two events ( suppose A and B) are called to be independent events if the outcome…

Q: Given P(A) = 0.78, P(B) = 0.87, and P(B|A) = 0.44, what is P(A and B)?

A: Given :  P(A) = 0.78 P(B) = 0.87 P(B|A) = 0.44

Q: Given P(A) = 0.39, P(B) = 0.95, and P(B|A) = 0.07, what is P(A and B)?

A: Given :  P(A) = 0.39 P(B) = 0.95 P(B|A) = 0.07

Q: You are given that P(A)= 0.35, P(B)=.0.25, P(A or B)=0.45. a) Find P(A|B) b) Find P(B|A)

A:

Q: Given P(A and B) = 0.29, P(B) = 0.51, P(B|A) = 0.96, what is P(A)?

A: Given data, P(A and B) = 0.29  P(B) = 0.51 P(B|A) = 0.96 P(A)=?

Q: Evaluate: -4 2 0 2 3 1 (a) 3 1 0 2 1 3 0 3 2 3 (b) 4 2 1 -5 - 1 t - 2 -1 -2 (c) 2 t - 3 | t +1 t - 3…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: #S = (a.b.c) with P(a) = 5P(b) = 7P(c), find P(c).

A: Solution :-

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: Given P(A) = 0.40, P(B) = 0.35, and P(A and B) = 0.12, what is P(A or B)?

A: Formula : P(A or B) = P(A) + P(B) - P(A n B)

Q: If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:     1.4     1.8     0.714…

A: P(A)=0.35 P(B)=0.45 P(A and B)=0.25   P(A/B)=P(A and B)P(A)=0.250.35=0.714

Q: Given P (A and B) 0 0.04, P (B) 0.64, P (B|A) 0.87, what is P (A)?

A: Conditional probability:The conditional probability describes that the probability of an event B…

Q: Given P(A) = 0.01, P(B) = 0.88 , and P(B|A)=0.34 , what is P(A and B)?

A: Given: P(A)=0.01P(B)=0.88P(BA)=0.34 The objective is to find the probability of P(A∩B).

Q: what is P(B)

A:

Q: P(A) = 0.25, P(B) = 0.65, P(AU B)= 0.8 Find a) P(A|B)        b) P(B|A)

A: First we need to find P(AnB). P(AnB) = P(A)+P(B)-P(AUB) = 0.25+0.65-0.8 = 0.1

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: Given P(B) = 0.29, P(A and B) = 0.27, P(A or B) = 0.48, what is P(A)?

A: Given, PB=.29PA and B=PA∩B=.27PA or B=PA∪B=.48 We have, PA∪B=PA+PB-PA∩B⇒   PA=PA∪B+PA∩B-PB…

Q: Given P(B) = 0.47, P(A and B) = 0.21, P(A or B) = 0.40, what is P(A)?

A: P(B) = 0.47 P(A and B) = 0.21 P(A or B) = 0.40

Q: Given P(A) = 0.37, P(A and B) = 0.14, P(A or B) = 0.58, what is P(B)?

A: We have given that                P(A)=0.37 , P(A∩B)=0.14  and P(A∪B)=0.58Since we know that…

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: what is 2(p+4)=2

A: Step 1:  2(p+4)=2 Step 2: 2p+8=2 Step 3: 2p=2-8 Step 4: 2p=-6 Step 5:  p=-6/2 Step 6: p= -3

Q: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05 Find a) P(A|B).   b) P(B|A)

A: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05   We know :

Q: show that A (7b +p) = A (7b) + A (p).

A: Given A = [v1 v2 v3]  ,  b = xyz   and   p = 375

Q: P(A) = 0.2, P(B) = 0.6, P(AUB)= 0.7 Find a) P(A|B)  b) P(B|A)

A: