True or False: 1. If P(X) = 0.5 and P(Y) = exclusive events if P(X n Y) = 0.25 0.5, then X and Y are mutually 2. If P(X) = 0.5 and P(Y) = 0.5, then X and Y are independent events if P(X n Y) = 0.25 3. The impossible event has probability 0 4. If A and B are independent, then P(A|B) = P(A) 5. The experiment requires tossing a fair coin twice. A posteriori or classical assignment of probability may be used.

Q: Q. 2 The probability that a smoker who consumes over 20 cigarettes 4 The 10 5 The 10 a day will…

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: Consider two events A and B such that P(A) = 0.1, P(B) = 0.1 %3D Also we know that the probability…

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Q: 4. A total of 2n people, consisting of n married couples, are randomly divided into n pairs.…

A: Given, A total of 2n people, consisting of n married couples, are randomly divided into n pairs. let…

Q: Suppose that events E and F are​ independent, ​P(E)=0.4​, and ​P(F)=0.6. What is the P(E and F)​?…

A: Given that, Events E and F are independent, and P(E) = 0.4 P(F) = 0.6

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Solution

Q: 7. Let A and B be events such that P(A) = } = P(B) and P(AªNBº) = . Find the probability of the…

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Q: 1a) Let E be the event that a corn crop has an infestation of earworms, and let B be the event that…

A: a) Given  Let E be the event that a corn crop has an infestation of earworms, and let B be the event…

Q: A store opens at 8:00am with one customer in the queue. After every minute, a new customer will…

A: In this problem, we are asked to calculate the probability of having 2 customers in a queue at a…

Q: 4. Suppose there are 5 bowling balls which are identical except that one is magical and delivers, no…

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Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Given The eight simple events are equally likely. 1st   2nd   3rd   boy − boy…

Q: Suppose we have three events A, B, and C. If P(A) > 0, P(B) > 0 and P(C) < 1, and we know that if…

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Q: events A and B are mutually exclusive, then P(A) + P(B) = 0. True or false?

A: Given that  If two event A and B are mutually exclusive.

Q: (a) Compute the probability that B occurs but A does not occur. 0 (b) Compute the probability that…

A: Given that,The two events are mutually exclusive. To find the following probabilities.

Q: Suppose that E and F are two events and that P(E) = 0.3 and P(F|E) = 0.6. What is P(E and F)? P(E…

A: We have to find p( E and F)

Q: Event A has probability 0.4. Event B has probability 0.5. If A and B are disjoint, then what is the…

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Q: are the outcomes that are possible when a couple has three children. Assume that boys and girls are…

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Q: true/False 1.Events E and F are dependent if the probability of event E is unaffected by the…

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Q: 57. The probability that a contractor will get a plumbing contract is 2/3, and the probability that…

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Q: The probabilities that the secretary of a construction company, her manager, or both will be sick on…

A: Let A=secretary will be sick  B=manager will be sickGiven,P(A)=0.04P(B)=0.07P(A∩B)=0.02

Q: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

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Q: 7. A smoke detection system uses two devices, A and B. If smoke is present, the probability that…

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Q: A section of an electrical circuit has two relays, numbered 1 and 2, operating in parallel. The…

A: Solution

Q: Suppose that A,B, & C are three independent events such that Pr(A)=1/4, Pr(B)=1/3, and Pr(C)=1/2. A.…

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Q: Ex.3 if the probability of someone sick from a disease is = 0.4 If there are 5 persons having this…

A: Given data: Probability of someone sick from a disease = 0.4 Total number of persons having this…

Q: A probability of 0 means that an event cannot occur. O True O False

A: Given statement, A probability of 0 means event can not occur.

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: From the given information, all the possible outcomes when a couple has three children are, {bbb,…

Q: 3. If P(AuB)=0.8, P(AnB')=0.3, and P(BnA')=0.2, determine following probabilities. 3-A. P(AUB)' 3-B.…

A: Given:P(A U B) = 0.8 (Probability of the union of A and B)P(A ∩ B') = 0.3 (Probability of the…

Q: Suppose that E and F are two events and that P(E)=0.5 and P(FIE) = 0.6. What is P(E and F)? P(E and…

A: GiveP(E)=0.5P(F|E)=0.6

Q: If the probability that it will rain when it is windy is 2/5 and the probaility of wind is 1/2. what…

A: Solution: 2. From the given information,

Q: 22. A salesman is known to sell a product in 3 out of 5 attempts while another salesman in 2 out of…

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Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.07 and event B…

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Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Given : Possible outcomes of boy , girl when couple has 3 children are : Possible outcomes (n)=8…

Q: Events A & B are mutually exclusive. Event a occurs with probability 0.1 and event B occurs with…

A: In question,  Given that, A and B are two mutually exclusive events where P(A) = 0.1 P(B) = 0.08

Q: Assume that events X, Y, Z are mutually exclusive (pairwise) and P(X) = 0.132 P(Y) = 0.1618 P(Z)…

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Q: 2 Producers (A and B) supply car mirrors to a distributor. If a mirror is picked up at random, the…

A: Let us denote: D=defectiveGiven that P(A)=0.25, P(B)=0.75P(D|A)=0.04, P(D|B)=0.02