Suppose A and B are events of a sample space. Assume that P (A) = .45 P(B) = .30 P(A∪B) = .55 (a) FindP(A∩B) (b) Find P(B|A) (c) Find P(A|B) (d) Are the events A and B mutually exclusive? (e) Are the events A and B independent?

Q: 2.11.1 Problems 2.1 Consider the following five observations. You are to do all the parts of this…

A: Given information:   x y   3 4   2 2   1 3   -1 1   0 0 Sum 5 10

Q: Which pairs of events are independent?     (a) P(A) = 0.67, P(B) = 0.58, P(A∩B) = 0.35.         A…

A:

Q: Suppose A and B are two events, P(A)=0.38, P(B)=0.42 and P(A and B )=0.26 Find the P(B|A) Round…

A: Answer: From the given data, P(A) = 0.38 P(B) = 0.42 P(A and B) = 0.26

Q: Defective components: A lot of 9 components contains 4 that are defective. Two components are drawn…

A:

Q: Suppose that A and B are independent events with: P(A)= 0.4 P(B)= 0.7 Calculate: P( A U B)

A: The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: Find the probability of the indicated events if P(E)=0.3 , P(F)=0.4 , and P(F|E)=0.3   (a) P(E∩F)…

A: GivenP(E)=0.3P(F)=0.4P(F|E)=0.3

Q: 4a) It is known that P(AB)-0.45, P(B)-0.90 and the events A and B are independent. Find P(A). 0.405…

A: P(A and b ) = 0.45 P(B) = 0.90 P(A) =? Independent events

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: TRUE or FALSE  For events A and B in a sample space, P(A|B) + P(A|Bc) = P(B).

A: Introduction: Suppose A and B are two events of interest in a sample space, with respective…

Q: A and B are two events such that P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.  Find P(A|B). Select…

A: P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.

Q: Given P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085, and that events A, B, and C are mutually…

A: P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085 Events A, B, and C are mutually exclusive

Q: A AC Total B 0.443 0.005 0.528 BC 0.224 0.24 0.427 Total 0.667 0.333 1

A: From the cross-tabulation table, we have P( A ) = 0.667 P( B ) = 0.528 P( Ac and B ) = P( B ) - P( A…

Q: you are givin the information that P(A) = 30 and P(B) = 0.40. Do you have enough information to…

A:

Q: ven P(A) = and P(B) = ³ Find P(A or B), if A and B are mutually clusive events.

A:

Q: Let A and B be mutually exclusive events with P(A)=0.43 and P(B)= 0.53 calculate P(A ∩ B)…

A: From the provided information, P(A) = 0.43, P(B) = 0.53

Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

A:

Q: Let A and B be independent events with P(A) = 0.2 and P(B) = 0.3. Find: BAO REALT DORI

A: Hello! As you have posted more than 3 sub-parts, we are answering the first 3 sub-parts.  In case…

Q: 1 Let A and B be independent events with P(A) = P(An B) = P(A U B) = and P(B) = 13. Find P(An B) and…

A:

Q: If A and B are independent events with P(A) = 0.25 and P(B) = 0.60,then P(A|B) is?

A: Given: A and B are independent events. P(A)=0.25P(B)=0.6 The objective is to find P(AB).

Q: 117.If A and B are independent events such that P(B) = P(AUB) = 0.8 then P(A) is

A:

Q: (iii)It P(AB) = 0, then the two events A and B are said to be (a) dependent (b) independent (c)…

A: ⇒ P(A∩B) can be written as P(AB).

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=0.76, Find: 1. P(A n B) 2. P(A| B)…

A: Given: P(A)=0.26  P(B)=0.76

Q: Suppose X and Y are events in a sample space such that P(X|Y) = 1 3 and P(Y) = What is P(XY)?

A: X and Y are the events in a sample space such that, P(X|Y)=1/3 P(Y)=1/5 To find: P(X and Y)

Q: Suppose P(A) = .70, P(B) = .18, and events A and B are mutally exclusive. Find:  a) P(A and B) b)…

A: The provided information are :P(A) = 0.70, P(B) = 0.18The events A and B are mutually exclusive.

Q: Let  A and B be events with  P(A)=, 0.2 P(B)=, 0.9 and P(B|A)=0.5   Find  P(A and B)=

A: From the given information,P(A) = 0.2,P(B) = 0.9And P(B|A) = 0.5.