5. If A and B are independent events, which of the following statements is always true? OA. P(A/B) = P(A) OB. P(AUB) = P(A) + P(B) C. P(A) = P(B) O All of the above

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: When 2 events (A,B) are independent, what is the probability of their union? a.) P(A) + P(B) b.)…

A: Let us consider two events A and B.   Consider A and B are independent events.

Q: Which of the following is NOT necessarily true for mutually exclusive events A and B? P(A B)=0…

A: If A and B are mutually exclusive events, then A∩B=∅. Then, we have P(A∩B)=P(AB)=0. 1.)…

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: Use your own personal experience with the events described to determine whether E and F are…

A: Following event are given E is the event "having naturally blond hair," F is the event "having…

Q: 7. If A and B are independent events, then P(A and B)) equals    a. P(A) + P(B|A). b. P(A) ( P(B).…

A: GivenA and B are independent events. Any two events A, B are independent events if occurrence of one…

Q: In how many different order could the police department arrange six suspects in a police lineup if…

A: In this question we will use basic of permutations and combinations and concept of probability and…

Q: Supposed P(F) = .25, P(F or G) = .70, and events F and G are mutually exclusive.  Find: a) P(G)…

A: (a)If events F and G are mutually exclusive, then, P (F or G) = P(F)+ P(G).Or, P(G) = P (F or G) –…

Q: 1) Events A and B are mutually exclusive. P(A) = 0.35, P(B) = 0.56. Find a) p(not A) b) p(A and B)…

A: As per Bartley guideline expert have to answer first question only since I had done all for you.

Q: Let A and B be two events such that P(A)3D0.9, P(B)-D0.5, and P (A U B) =0.6. Find: a) P(AnB) b)…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: If P(A)=0.2, P(B)=0.1, and P(A∪B)=0.3, then P(A∩B)= Are events A and B independent? Are A and 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…

A:

Q: . If P(A n B) = P(A U B) = and P(A) =;, then A A and B are independent events B A and B are mutually…

A:

Q: If A, B are two events, where P(A)= 0.4, P(B)= 0.55, P(A U B) = 0.85, then P(AN B): %3D a. 0.1 O b.…

A:

Q: If A and B are independent events, which of the statements below are true? OP(AIB)-0 O P(AIB)-…

A: From the given information we find the probability.

Q: Assume A and B are independent events, P(A)= 0.1, P(B)=0.3. Then P (AUB): 0.43 O Option 3 0.4

A:

Q: Let us have events/sets A and B such that P(A)=0.3 and P(B)=0.9. Can A and B be mutually…

A: Let us have events/sets A and B such that P(A)=0.3 and P(B)=0.9.

Q: If A and B are mutually exclusive events then O a. 1- P(AN B) = P(A) + P(B) %3D | O b. P(AU B) =…

A: Mutually exclusive events: Two events A and B are said to be mutually exclusion if there are no…

Q: B) are disjoint, what is the probability of their union? a.) P(A) + P(B) b.) P(A)P(B) c.) 0 d.)…

A: As given that events A and event B are disjoint. It is asked to find the probability of their union.

Q: Let A and B be independent events with P(A) " and P(B) =. Find P(AN B) and P(A U B).

A: Given that P(A) = 1/8 P(B) = 1/5

Q: If three events A, B and C are independent then P(ANBNC) = P(A) x P(B) x P(C) O True False

A:

Q: If P(A) = 0.4, P(B) = 0.2, and P(AU B) = 0.6, then P(AN B) = (a) Are events A and B independent?…

A:

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: Question: If two events, A and B, are independent, which of the following statements is true? A:…

A: Given;We have two events A and B. both events A and B are indepedent.

Q: e 12-26. Prove the following: (i) If P(A | B) 2 P(A) then P(B | A) 2 P(B). (ii) If P(B\A) = P(B| A),…

A:

Q: For two events ,A and B,P(A)=0.4, P(B)=0.2 and ,p(A|B)=0.6 Find a)p(A ∩B) b)p(B|A) c)p(B,|A)

A:

Q: If P(A) = 0.3, P(B) = 0.5, and P(AUB) = 0.74, then P(A^B) = (a) Are events A and B independent?…

A: P(A) = 0.3, P(B) = 0.5, P(A∪B) = 0.74

Q: If A and B are independent events, prove that the following pairs of events are independent: Ac and…

A:

Q: Which of the following is NOT necessarily true for mutually exclusive events A and a) P(A NB)=0 c)…

A: Mutually Exclusive events: If A and B mutually exclusive events, then PA∩B=0. a) From the mutually…

Q: Complete the following table and use it calculate the probabilities given below. A AC Total a. PA or…

A: Given data is:   B Bc Total A 0.443 0.218   Ac       Total 0.567   1

Q: If P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0, which of the following is true?   A. Events A and B…

A: given data,p(A)=0.40p(B)=0.20p(A and B)=0which statement is true=?

Q: 3. Two events A and B are such that P (A) = 0.6, P (B) = 0.4 and P(A/B) = 0.2 Find a) P(ANB) b)…

A: it is given that  P(A) = 0.6 P(B) = 0.4 P( A/B ) = 0.2   Note: According to Bartleby expert…

Q: If the probability density function of a continuous random variable X is given by f(x) = {"0 Sa +…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. To find - If the…

Q: If P(A) = 0.2, P(B) = 0.3, and P(AU B) = 0.5, then P(AN B) = (a) Are events A and B independent?…

A: The probability rule of addition gives us PA∪B = PA+PB-PA∩B

Q: Choose the following statements that are true for any events A, B. Pr{AU B} = Pr{A} + Pr{B} –…

A: Answer - Choose the following statements that are true for any events A, B.

Q: of the above answers is correct. 21. If A and B are not-mutually exclusive events, then: cannot…

A:

Q: The statement that “?(?|?) = ?(?|?) whenever ? and ? are independent events” is

A: we have given that  independent events .