Suppose that in a given town, 60% of the population is under age 40 (event A). It is found that the proportion of residents under age 40 who support mandatory inoculation is 0.72. The proportion of residents over age 40 who support mandatory inoculation is 0.52. Let event B = support mandatory inoculation. Are the events A, B mutually exclusive? O No, they are not because P(A) does not equal P(A|B) O No, they are not because P(AN B) does not equal zero(0) O Yes, they are because P(AU B) = P(A) + P(B) O Yes, they are because P(AU B) = P(A) × P(B)

Q: Suppose that E and F are two events and that N(E and F) = 470 and N(E) = 570. What is P(F|E)? .....…

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Q: If A denotes some event, what does A denote? If P(A) = 0.004, what is the value of P(A)? What does A…

A: Given,  P(A) = 0.004

Q: 2. Let A and B be events with P(A) = 0.5 and P(AnB") = 0.4. For what value of P(B) will A and B be…

A:

Q: If A denotes some event, what does A denote? If P(A) = 0.004, what is the value of P(A)? .... What…

A:

Q: Two events, A and B, are said to be independent if: a. Р(BA) 3D Р(А) b. РАВ) — Р(В) c. P(An B) = PA)…

A: Condition for independence: If A and B are two events, then P(A and B)=P(A)*P(B). Consider option a)…

Q: For not mutually exclusive events A and B, P(A) = 0.59, P(B)=0.46 and P(A B)=0.28. Find the P(AUB).

A: Given:        The A and B are not mutually exclusive P(A) = 0.59 P(B) = 0.46 P(A ∩ B) = 0.28

Q: 5. A and B are two events such that P(B) = P(An B) =and P(B|A) = Find a) P(A) b) P(A|B) c) P(A|B)

A:

Q: 1. Let A and B be independent events such that P(A), P(B) > 0. Is it possible that A and B are…

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Q: If A denotes some event, what does A denote? If P(A) = 0.996, what is the value of P(Ā)? ..... What…

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Q: If A and B are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

A:

Q: Suppose that C and D are events such that P(C) = 4/5 and P(C&D) = 3/10. Find P(D| C).

A: The formula for conditional probability is,

Q: Suppose that E and F are two events and that P(E and F) = 0.1 and P(E)= 0.4. What is P(FIE)?

A: Solution-: Given: P(E and F)=0.1, P(E)=0.4 We want to find P(F|E)=?

Q: Let A and B be events such that P(A) =1/8, P(A or B)=1/6 and P(A and B)=1/11. Determine P(B)

A: P(A) =1/8, P(A or B)=1/6,  P(A and B)=1/11.

Q: Suppose that E and F are two events and that N(E and F)=480 and N(E)=700. What is P(F|E)​?…

A: We have to find out given probability..

Q: If A denotes some event, what does A denote? If P(A) = 0.008, what is the value of P(A)? What does A…

A: Given data: If A denotes some event, what does A' denote? If P(A) = 0.008, To find: what is the…

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: Let A and B be events such that P(A)=1/4, P(A or B)=1/3, and P(A and B)=1/5. DetermineP(B)

A:

Q: Suppose that A and B are events such that P (A|B) = P (B|A) , P(AUB) = 1, and P(An B) > 0. Prove…

A: Solution: From the given information,

Q: |20. Suppose a fair coin is tossed three times. Let A be the event that a head appears on the first…

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Q: if a and b are independent events with P9A)=0.4 and P(B)=0.5, then P(A or B)=?

A: If a and b are independent events, thenPA and B=PA∩B=PA.PB=0.4×0.5=0.2

Q: Let A and B are two events, not mutually exclusive. Suppose that P(A) =0.40, P(B)=0.32 and P(A or…

A:

Q: Suppose that E and F are two events and that N(E and F)=340 and N(E)=720. What is P(F|E)​?…

A: Given,  N(E and F)=340 and N(E)=720.

Q: The following two-way table shows the distribution of daily traffic and weather issues in a certain…

A: Given :

Q: If A denotes some event, what does A denote? If P(A) = 0.993, what is the value of P(A)? What does A…

A: We have given information,  A denote some event. P(A)=0.993

Q: Suppose that A and B are events for which P(A) =0.2, P(B)=0.5, and P(A ∩ B)=0.13 P(B|A)=?

A:

Q: If A and B are mutually exclusive events with P(A) = 0.75, then P(B): a. can be any value…

A: Given P(A)=0.75

Q: Suppose that A and B are two events for which P(A)=0.17, P(B)=0.71, and P(B|A)=0.39 Find each of the…

A:

Q: Let A and B be events such that P (A) = 1/5 P (A & B) = 1/10 and P (A or B) = 1/2 Determine P (B)

A: P(A)=15P(A and B) = 110P(A or B) = 12

Q: Suppose that A and B are two independent events for which P(A)=0.32 and P(B)=0.7. Find each of the…

A:

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

A:

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: t A and B be two disjoint events such that P(A)=.18 and P(B)=.42 what is P(A or B)

A: given data , disjoint events, p(A)=0.18p(B)=0.42p(A or B)=?

Q: you say about P(B)?

A:

Q: Which of the following equalities does not imply that the events A and B are independent??

A: Here use property of independent event

Q: Event A and Event B are equally likely, mutually exclusive, collectively exhaustive and independent…

A: Mutually Exclusive Events: Two events are said to be mutually exclusive if they cannot occur at the…

Q: Suppose A and B are events such that ​P(A)=1/3​, P(B)=1/4​, and​ P(A or ​B)=1/2. Complete parts​…

A: Given Information: PA=13 PB=14 PA or B=12 Mutually Exclusive Events: Two events are said to be…

Q: Suppose A and B are events such that P(A) = 0.6 P(B)= 0.7 and P(A or B) = 0.8 What’s P(A) with a…

A: Given, Suppose A and B are events such that P(A) = 0.6 P(B)= 0.7 and P(A or B) = 0.8. That is,…

Q: Suppose that A and B are two independent events for which P(A)=0.23 and P(B)=0.65. Find each of the…

A:

Q: If A denotes some event, what does Ā denote? If P(A) = 0.996, what is the value of P(Ā)? ..... What…

A: