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) = 0.992, what is the value of P(A)? What does A…

A: Solution: Let A be the some event.  P( A)= 0.992

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) = 0.993, what is the value of P(A)? .... What…

A: Answer - Given P(A) = 0.993.       Find P(A)  = ?

Q: Let A and B be events where P(A)= .3, P(B)= .8, and P(A or B)= .9. Compute P( A and B).

A: The objective of this question is to find the probability of both events A and B occurring, denoted…

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: 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: 2. If P(A) = 1/2 ,P(B) = 3/4 and P(ANB) = 3/8 ,check whether A and B are independent. %3! %3D

A: Note: Please repost remaining questions as i can author only 1 question as per my policy.   2) Given…

Q: Suppose that E and F are two events and that N(E and F)=360 and N(E)=590 what is P(FIE)

A: Answer: From the given data, E and F are two events where N(E and F) = 360 N(E) = 590

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: A random sample of 77 different cereals was taken. Information on each cereal's grams of dietary…

A: It is required to determine whether the sample correlation coefficient between carbohydrates and…

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: 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: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

A:

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: 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: 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)

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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: If B CA and A and B are two events such that P (A) = 3 P (B) and A UB = S find P (B) ?

A: Answer: For the given data,

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: 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: ppose that E and F are two events and that P(E and F) = 0.5 and P(E) = 0.8. What is P(F|E)? FIE) =…

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Q: Suppose that we have two events, A and B, with P(A)=0.60,P(B)=0.70, and P(A∩B)=0.40 a. Find P(A∣B)…

A:

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

A: Given :

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: Suppose that E and F are two events and that N(E and F)=420 and N(E)=520 what is P(FE)

A: Answer: From the given data, N(E and F) = 420 N(E) = 520

Q: Let A and B be two events such that 0 < P(A) < 1. If P(B|A) = P(B|Ac), prove mathematically (not…

A: Given that A and B be two events such that 0 &lt; P(A) &lt; 1. If P(B|A) = P(B|Ac), We have to prove…

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, B be events, with P(A) =.2, P(B) = .4, and P(A|B) = .25. Find P(A and B)

A: Given data, P(A) =.2 P(B) = .4  P(A|B) = .25 P(A and B)=?

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: 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: Let A and B be any two events defined on S. suppose that p(A)=0.2, p(B)=0.7, and p(A and B)=0.3, the…

A: It is given that, p(A) =0.2 p(B) =0.7 and p(A and B) =0.3