Disjoint vs. independent. In parts (a) and (b), identify whether the events are disjoint, independent, or neither (events cannot be both disjoint and independent). (a) You and a randomly selected student from your class both earn A’s in this course. (b) You and your class study partner both earn A’s in this course. (c) If two events can occur at the same time, must they be dependent? 3.10 Guessing on an exam. In a multiple choice exam, there are 5 que

Q: Which pairs of events are independent?     (a) P(A) = 0.67, P(B) = 0.58, P(A∩B) = 0.35.         A…

A:

Q: n each of the cases, briefly state whether the 2 events A and B are indpendent and why (a) Roll two…

A: a. If two dice are rolled then total number of outcomes 6*6 = 36 Define two events, A: The first die…

Q: If ?(?) = 0.8, ?(?) = 0.5, ?(? ∪ ?) = 0.9, are events ? and ? independent events? Why or why not?…

A: Probability (1) = 0.8Probability (2) = 0.5 Probability (1 ∪ 2) = 0.9 We have to calculate that…

Q: If A A and B B are events with P (A) = 14 P (A) = 14, P(B) = 12 P (B) =12, and P ( ANB) = 16 P(ANB)…

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Q: True or false? If A and B are two events with A ⊂ B and P(A ∪ B) = P(A) + P(B), then P(A) > 0

A: Solution: We have to determine if the below statement is true or false:If A and B are two events…

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: If A and B are mutually exclusive events then: Select one: P(A and B)=P(A)+P(B) PCA or B)-P(A)+P(B).

A: A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B…

Q: Let A and B be events with P (A)=0.7, P (B)=0.3, and P(A or B)=0.9. (a) Compute P(A and B). (b) Are…

A: Given that  P ( A ) = 0.7 , P ( B ) = 0.3 , P ( A or B ) = 0.9

Q: You draw two cards from a standard deck of 52 cards without replacing the first one before drawing…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

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: Define A, P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(ANB) = 0.06, P(ANC) = 0.27, P(BOC) = 0.18,…

A: Given that  P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(A n B) = 0.06, P(A n C) = 0.27, P(B n C) = 0.18,…

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 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: 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: Let A, B, and C be independent events, and P(A) = 0.25, P(B) = 0.6 and P(C) = 0.7. Find each…

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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: The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.6, what is P(A or B)? O A. 0 O…

A:

Q: Let A, B, and C be independent events with P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 Find P(A and B and C).…

A: given A, B, and C be independent events  P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 P(A and B and C ) = ?

Q: 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service,…

A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have solved…

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

A:

Q: Let a&b be events with p(a)=0.2,p(b)=0.8, & p(b/a)=0.3. Find p(a&b)

A: Given Information: A and B are two events. P(A) = 0.2, P(B) = 0.8, P(B|A) = 0.3 To find the…

Q: Assume that A and B are events. If P(AUB)= 0.8, P(A) = 0.4, and P(B) = 0.75, find P(AnB). P(AnB) =…

A: For any two eevents A and B, P(A∩B)=P(A)+P(B)-P(A∪B)

Q: Independent events means disjoint events.

A: Here use definition of independent events and disjoint event  .

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: 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: 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: If A and B are independent events and P(A) = 0.2, P(B) = 0.6 then P(A-B) is: Select one: a. 0.6 b.…

A: Given that A and B are independent events. This means: P(A and B)=P(A)P(B)= (0.2)(0.6)=0.12

Q: When two events cannot occur at the same time, they are said to be ?

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…