event (A) is receiving a bachelor’s degree and event (B) is receiving a PhD then events A and B are necessarily: a. None of the above b. Mutually exclusive c. Independent d. Exhaustive

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: If A,B,C are mutually exclusive events with PĀ) = 0.45, P(B) = 0.36, then P(AN B) = a. 0.91 O b.…

A: PA=0.45 PB=0.36

Q: In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither…

A: Independent events: Two events A and B are said to be independent, if probability of occurrence of…

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: Is Event B dependent or independent of Event A?   A: A mosquito lands on your arm. B: You get a…

A:

Q: Let A and B be events with P(A) = 0.8, P (B) = 0.4, and P (B|A) = 0.2. Fins P(A and B).

A: There are two events A and B given with probabilities such as PA=0.8, PB=0.4, and PB|A=0.2.

Q: Consider the following two events for an individual: A = owns a cell phone B = owns a laptop…

A: The two events for an individual is A=owns a cell phoneB=owns a laptop computer

Q: Let A and B be events with P(AUB) = 3/4, P(A ́) = 2/3 and P(A ∩ B) = 1/4, find a) P(A) b) P(B) c)…

A: To find a) P(A) b) P(B) c) P(A ∩ B ́)

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: If P(A)=0.40, P(B) = 0.75, and P(A and B)=0.30, then what is true about the events A and B? (A)…

A: (C)Event A and event B are not mutually exclusive and are independent. Explanation:Recall that two…

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: 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: Given two events A and B , state whether each of the following can be possible or not  a) P(A) P(A)…

A: The union of two events is the occurrence of either of them or at least one of them. The…

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: If A and 8 are independent events and P(B) = and P(AB) = then P(A) is: P(AB) = P(A) P(B) P(B) = 1 11…

A: Given that A and B are independent events such that  P(B)=3/4 P(A∩B)=1/2 We have to find P(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: Two dice are thrown. Let A be the event that an odd number is obtained on the first dice, B be the…

A: According to guidelines we solve first three subparts when given multiple subparts.

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: A,B, and C are mutually exclusive events such that P(A) = 0.2,P(B) = 0.6, and P(C) = 0.1. Find P(A…

A: The formula for P(A or B or C) is given below:

Q: If P(A) = 0.2, P(B) = 0.3, and P(A U B) = 0.48, then P(An B) =|. (a) Are events A and B independent?…

A:

Q: In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither…

A:

Q: If A and B are events such that P(A)=0.2 and P(AUB)=0.6, find P(B) when (a) A and B are mutually…

A: According to the given information, we have P(A)=0.2P(A∪B)=0.6

Q: If A,B,C are mutually exclusive events with P(A) =0.25, P(B) = 0.22, P(C) = 0.75 then PAUBUC) O a.…

A: Given, A,B,C are three events with PA¯=0.25,PB¯=0.22,PC=0.75

Q: If A and B are mutually exclusive events with P(A) = .3 and P(B) = .5, then P(A∩B) =

A:

Q: If A and B are events such that P(A)=0.55, P(B)=0.35 and P(A U B)=0.7. Then P(A/B) O a. 0.2 O b.…

A: It is given that P(A)=0.55, P(B)=0.35, P(AUB)=0.7.

Q: Let A and B be mutually exclusively  events with P(A)=0.24 and P(B)=0.34

A: If A and B are mutually exclusive events then, P(A ∩ B) = 0 Now we know that P(A U B) = P(A) + P(B)…

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: Let A and B be events with P(A) = 0.8; P(B) = 0.4, and P(B|A) = 0.2. Find P(A and B). O 0.16 O 0.25…

A:

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: 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 two events, A and B, are mutually exclusive, then P(A and B) = P(A) × P(B)

A: Mutually exclusive events are also called dis joint events. It means that events can't occur…

Q: In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither…

A: Independent Events: The two events A and B are said to be independent, it means that the probability…

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: Suppose there are two events A and B. If P(A) = 0.7; P(B) = 0.3, then P(A and B) = 0.21 if and only…

A: Suppose there are two events A and B. Given P(A) = 0.7; P(B) = 0.3, We need to find the necessary…

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.