Given P(A) = 0.55, P(B) = 0.35 and P(AUB)= 0.9, then %3D A & B represents the universal set LA & B are equally likely events IL.A & B are independent events V.A & B are mutually exclusive events Select one: O a. I & IV only O b. II & II only O c. II only O d. IV only

Q: Two events A and B are independent if... There are 3 different formulas to test for probability…

A: We have given thatTwo events A and B are independent

Q: Suppose A and B are events with P(A) > 0 and P(B) > 0. If B C A, which of the following must be…

A: P(A)>0 P(B)>0 B subset A  P(B and A) = P(B)

Q: An oil exploration company currently has two active projects, one in Alaska and the other in Texas.…

A: From the given information, Note: Here both the successful of projects are given as Alaska project.…

Q: 3. In a manufacturing process, lots having 10%, 12%, 14% or 16 defectives are produced according to…

A: To determine which customer should have the highest priority for receiving the order, we need to…

Q: The two events A and B are such that P(A)=0.6, P(B)=0.2, p(A|B)= 0.1. Calculate the probabilities…

A:

Q: A1,A2, and A3 are mutually exclusive and exhaustive events such that P(A1) = 0.2,P(A2) = 0.5, and…

A: a)The required probability is calculated as follows.

Q: QUESTION 1 If two events A and 8 are mutually exclusive then: O a. P(AJ + P(B) = 1 O b.A and 8 are…

A: 1. We know if, A and B events are mutually exclusive then, P(A U B) = P(A)+P(B) Now, we know, P(A U…

Q: If A and B are mutually exclusive events with P(A) = .3 and P(B) = 0.5, then P(A n B) = (CSLO 1,3,

A:

Q: Cards are dealt from a full standard deck of 52 cards. Find the probabilities of: •The first card…

A: Given data: The total numbers of cards are n=52. The numbers of clubs are c=13. Write the expression…

Q: An oil exploration company currently has two active projects, one in Asia and the other in Europe.…

A: a) Here, A denotes that the Asian project is successful and B denotes that European project is…

Q: a) Are events F and H disjoint? Explain. |

A: Two events A and B are said to be disjoint if P(A and B) = 0

Q: Events A, B, C, and D are independent. P(A) = 0.5, P(B) = 0.25, P(C) = 0.75, and P(D) = 0.1. 1) P(A…

A: The probability of event A is 0.5 The probability of event B is 0.25 The probability of event C is…

Q: 4. P4 = P(A | Bº). (P1, P2, P3, P4) =(

A: From the given information we have P(B) = 47/210 P(Bc) = 1 - P(B) = 1 - 47/210 = 163/210

Q: In a village the probabilities of a Bus arriving late 26. when it is raining and when it is not…

A: For the given tree diagram find the missing values I,II and III I = 0.3 ,II = 0.4 ,III = 0.3

Q: Consider two events following receiving a bachelor’s degree from a prestigious university: A =…

A: GivenA=being accepted inti a graduate programP(A)=0.7B=receiving a job offerP(B)=0.7P(A|B)=0.9

Q: Two team (A and B) play a series of baseball games. The team who wins three games of…

A: Given for team A, The probability of winning in home field is 0.7, then the probability of losing in…

Q: Let us have events/sets A and B such that P(A)=0.4 and P(B)=0.3. Is it possible for  A and B be…

A: Mutually exclusive or disjoint events are events in probability theory that cannot occur…

Q: If A and B are independent events, then ... None of the above OP(AUB)=P(A)×P(B) OP(A U B) = 1OP(An…

A: If events A and B are independent, it means that the occurrence or non-occurrence of one event does…

Q: If A and B are independent events, and P(A) = 0.2, P(B) = 0.3, find the following:  a)         P(A…

A: Given Data: The probability of event A is: P(A)=0.2 The probability of event B is: P(B)=0.3   Event…

Q: If P(A A. B. C. D. B) = 0 A and B are independent events. P(A) + P(B) = 1 A and B are mutually…

A: given data  P(A∩B) = 0 we have to find correct statement from given options.