The probability of event A, given that event B has occurred, can be found using Bayes' Theorem. P(A) P(BIA) P(A) • P(BIA) + P (A') .P (BIA) Use Bayes' Theorem to find P(AIB) using the probabilities shown below. P(A) = 68%, P (A') = 32%, P (B|A) = 43%, and P (B|A') = 53% P(A/B) = ... The probability of event A, given that event B has occurred, is (Round to three decimal places as needed.)

Q: E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F).

A:

Q: Let A and B be events such that P(A)=.P(B)= and P(AUB)= 5. 10 (a) Find P(A|B) (b) Find P(A|B') (c)…

A:

Q: (b). A and B are two events such that 3 P(-4)=P(B) = 1/ and P(AUB) = 2 4 Calculate: (i). P(BA) (ii).…

A:

Q: (a) the probability of transmitting (1) with condition of receiving (1) at the receiver end. (b) the…

A: Given,  P(m1) = 0.45 So, P(m0) = 1-0.45 = 0.55 P(B0|m0) = 0.40, So, P(B1|m0) = 1-0.4 =0.60 P(B0|m1)…

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AN B) = 0.1. Calculate (a) P(A|B); (b)…

A: As per our guidelines we are suppose to answer three sub parts . Given,P(A)=0.5 , P(B)=0.3 ,…

Q: A car can travel from Town A to Town C by using the four roads below. The probabilities of these…

A: Given information: A car can travel from Town A to Town C by using the four roads. Probability of H1…

Q: (b). A and B are two events such that 1 1 3 P(B) == and P(AUB) = - Calculate: P(A) = (i). P(B|A)…

A: Given,P(A)=13P(B)=12P(A∪B)=34

Q: E and F are mutually exclusive events. P(E) = 0.3; P(F) = 0.2. Find P( E | F )

A: Given data, P(E) = 0.3 P(F) = 0.2  P( E | F )=?

Q: Suppose that A and B are independent events such that P(A) =0.70 and P(B) = 0.20. %3D Find P(AN B)…

A:

Q: Anuja is shooting at a target with probability of hitting p. She keeps shooting till she hits α…

A: Here, the probability of hitting is p Thus, the probability of missing is q=1-p in order to come out…

Q: Given that P(A)P(A) = 0.4, P(B)P(B) = 0.51, and P(A∣B)P(A∣B) = 0.63, find the probabilities:…

A:

Q: Prior Probabilities for A1 and A2: P(A1)=0.20, P(A2)=0.40, (A1) and (A2) are mutually exlcusive.…

A: Data given P(A1)=0.20, P(A2)=0.40, (B|A1)=0.20, P(B|A2)=0.05

Q: Given that P(A) =, P(A U B) =. P(A uc) = and P(B UC) =. 10 P(B). P(C). Find, (a) (b) (c) P(A/C).…

A: Note: As per the instructions we are allowed to solve first three subparts. Kindly repost the other…

Q: laboratory test is used to find out if there is a disease. Event A represents the person being…

A:

Q: Given that P(A)P(A) = 0.49, P(B)P(B) = 0.63, and P(A∣B)P(A∣B) = 0.46, find the probabilities:…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: The events E, F and G have the following properties:   P(E)=0.32 P(F)=0.39 P(G)=0.28P(E)=0.32…

A: given data  P(E)=0.32  P(F)=0.39  P(G)=0.28 P(EUF)=0.60  P(FUG)=0.44 P(EUG)=0.45  P(E∩F∩G)=0.04

Q: A and B are two events with P(B) = 0.38, P(A and B) = 0.23, P(B|A) = 0.42 Find P(A) Round to…

A: Answer: From the given data, P(A) = 0.38 P(A and B) = 0.23 P(B | A) = 0.42

Q: A and B are two events with P(A) = 0.36, P(A and B) = 0.23, P(A|B) = 0.44 Find P(B) Round to two…

A:

Q: We are asked to find the probability of event A occurring given that event B occurs. This is…

A: By conditional probability theorem, the probability of event A occurs, provided that the event B has…

Q: Events A and event B are mutually exclusive, P(A)=0.5 and P(B)=0.3 Calculate the following,…

A: Answer: From the given data, P(A) = 0.5 P(B) = 0.3 Events A and B are mutually exclusive,

Q: (a) Two independent events, A and B, are such that, P(A) = 0.7 and P(B) = 0.4, calculate: (i) P(An…

A: We have to solve given problem:

Q: P(A)=0.64,P(B)=0.45,P(B∪A)=0.92 Find the following probabilities. P(A∩B) =  P(B|A¯) =  P(A¯|B) =

A: We have given that,  P(A)=0.64, P(B)=0.45, P(B∪A) or P(AUB) =0.92 Then,  We will find the following…

Q: In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt,…

A:

Q: The probabilities of two events A and B are P(A) = 0.5 and P(B) = 0.3 respectively. If P( A U B ) =…

A:

Q: The probability of event A, given that event B has occurred, can be found using Ba P(A) P(BIA)…

A: Probability quantifies the chances of an even happening. The probability values always lies in the…

Q: Suppose that A and B are independent events such that P(4)=0.70 and P(B)= 0.20. Find P(An B) and P(A…

A: We have to find given probabilty.

Q: c. find Var(X) or o? 2. The number of passengers in a car on a freeway has the following probability…

A:

Q: If P(A) = 3/4 and P(A and B) = 1/2, where A and B are dependent events, then P(B|A) equals?

A: Solution: From the given information, P(A) = ¾ and P(A and B)=1/2.

Q: Let A and B be two events with probabilities P(A) = 0.6, P(B) = 0.4 and P(A and B) = 0.2. (a) Find…

A: Given: P(A) = 0.6 P(B) = 0.4 P(A and B) = 0.2 Plug in all the values in the formula.

Q: Here's a discrete probability experiment: a college instructor keeps track of the number of students…

A: We have given that probability distribution table X P(X) 0 0.25 1 0.15 2 0.25 3 0.25

Q: Given that P(A)P(A) = 0.37, P(B)P(B) = 0.36, and P(A∣B)P(A∣B) = 0.31, find the probabilities:…

A: Given that P(A) = 0.37, P(B) = 0.36, and P(A∣B) = 0.31 find the probabilities:

Q: The variance of a discrete probability distribution can be calculated using the formula: H=Ex.p(x)…

A: We know that  E(x)= ∑X.p(x)E(x2 ) = ∑X2.p(x)Variance =?2 = E(x2 ) - [E(x)]2 Where μ= E(x)

Q: For two events A and B, P(A) = 0.3 and P(B) = 0.4. (a) If A and B are independent, then P(ANB) =…

A: The question is about probability.Given :P ( A ) = 0.3P ( B ) = 0.4

Q: Events A and B are such that P(A)=0.70, P(B)=0.40, and P(AUB)=0.90. Find P(B| A).

A: