Let A and B be events with P(A)=0.4, P(B)=0.3, and P(A and B)=0.02. (a) Are A and B independent? Explain. (b) Compute P (A or B). (c) Are A and B mutually exclusive? Explain. Part: 0/3 Part 1 of 3 (a) Are A and B independent? Explain. The events A and B (Choose one) independent since (Choose one) X S

Q: If events A and B are independent, P(B)-05 and P(A-B)-03, then P(B-A)-

A: The following information has been provided: PB=0.5 PA-B=0.3 We have given that A and B are…

Q: If P(A) > 0, P(B) > 0, and P(A n B) = 0, then the events A and B are independent. true or false?

A: Solution-: If P(A) >0, P(B)>0 and  P(A∩B)=0, then the events A and B are independent. We find…

Q: Assume that we have two events A and B, that are mutually exclusive. Assume further that P(A) = 0.35…

A: Two event called mutually exclusive if p(a and b)=0

Q: Use the equations above to find the missing probability. 13. Event A and Event B are independent a)…

A: 13 a) Given data,P(B)=12P(A and B)=740P(A)=? P(A and B)=P(A)*P(B) 740=P(A)*12P(A)=1440P(A)=720

Q: a) Two events, A and B, are such that P(A U B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

A: P(A∪B)=0.86P(B) = 0.72P(A) = 0.64

Q: 25. Determining Whether Events Are Disjoint a. If P(A) = 3/11, P(B) = 4/11 and P(A or B) = 7/11,…

A:

Q: events A and B are mutually exclusive, then P(A) + P(B) = 0. True or false?

A: Given that  If two event A and B are mutually exclusive.

Q: he events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.6, what is P(A and B)?  a 0  b…

A: given data A and B are mutually exclusive eventsP(A) = 0.3P(B) = 0.6P(A and B) = ?

Q: Consider two events, A and B, such that P(A) = 0.60, P(B) = 0.35, and P(A and B) = 0.25. Are events…

A: Consider the two events A and B. PA=0.60 PB=0.35 PA∩B=0.25

Q: The events A and B are mutually exclusive. If P( OA. 0 OB. 0.8 ? 01

A: If A and B are two mutually exclusive events with P(A) = 0.2 and P(B) = 0.6Then, P(A or B) = ?

Q: - For any two events A and B; P ( ACO B) =P (B)-P (AOB)

A:

Q: Classify the events as dependent or independent. Events A and B where ​P(A)=0.1​, ​P(B)=0.2​, and​…

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Q: A and B are events such that P(A) = 0.4,P(B) = 0.5, and P(A&B) = 0.2. Answer each question and…

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

Q: The Am supply and deman for various blood types. They estimate that about 45% of the U.S. population…

A: Type o = 45%  P(o)= 0.45  Type A = 40%  P(A)= 0.40  Type B = 11%  P(B)=0.11 Type AB = 100-(45+40+11)…

Q: The events A and B are mutually exclusive. If P(A) = 0.1 and P(B) = 0.6, what is P(A or B)? O A. 0.5…

A:

Q: which of the following defines the concept of events A and B being mutually exclusive? A. the events…

A: Two events are said to be mutually exclusive if they cannot occur at the same time. Here, A and B…

Q: Classify the events as dependent or independent.

A: Given that, P(A) = 0.8 P(B) = 0.2 P(A and B) = 0.16 Check whether the given events are indep. or…

Q: Let A and B be two events such that P(A/B) = P(B/A) = and P(An B) = 1/ 1 Then P(AUB) = 2/3 3/4 1/3 O…

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…

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Q: P(A) =0.8 Let P(AC) = .2, P(A U B) = .95, and P(B|A) = .8. Find P(B) and then determine whether or…

A: Given P(Ac)=0.20, P(AUB)=0.95  P(B|A)=0.80

Q: If A, B, and C are three events, prove that P(ANBOC) >1– P(A)– P(B)– P(C)

A: There are three events A,B and C. So, From De Morgan's law, P(A ∪ B ∪C) = P(A∩B∩C)⇒P(A ∪ B ∪C) = 1 -…

Q: f If the events A and B are independent with P(A) = 0.50 and P(B) = 0.40, then the intersection…

A:

Q: Determine if events A and B are independent. P(A) = 0.45 P(B) = 0.5 P(A|B) = 0.36 P(A) = 0.55 P(B) =…

A:

Q: If E and F are two events. P(E) = 0.28, P(F) = 0.36, P(F|E) = 0.10 Find P(E and F) Round to three…

A: Answer: From the given data, P(E) = 0.28 P(F) = 0.36 P(F | E) = 0.10

Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.44 and event B…

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Q: When two events cannot occur at the same time, they are said to be OA mutually exclusive. OB. not…

A: In this case, we need to find the suitable option for the given statement.

Q: Anthony surveys a group of students at his school about whether they play a sport. This table shows…

A: It is a problem of conditional probability where we have to find whether two events are independent…

Q: How long a basketball player is on the court depends on whether the player begins a match as a…

A: a. Given the member is starting member we have to find the probability that themember is assigned to…

Q: c) Assume that E and F are independent events. Show that Ē and F are independent events.

A: c) The events E and F are independent.

Q: Problem: Let A and B be events. Is it necessarily true that P(A|B) = P(B|A) ? If so, explain why. If…

A: We have, Let A and B be events. Is it necessarily true that P(A|B) = P(B|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. 0.9…

A: Given Data: P(A)=0.3 P(B)=0.6   A and B are mutually exclusive events

Q: Classify the events as dependent or independent. Events A and B where P(A) = 0.8, P(B) = 0.8, and…

A: given data  P(A) = 0.8 P(B) = 0.8 P(A∩B) = 0.63 are the events independent or dependent?

Q: Events A and B are such that P(A)=0.70, P(B)=0.40, and P(AUB)=0.90. Find P(B| A).

A:

Q: Classify the events as dependent or independent. Events A and B where P(A)= 0.6, P(B)=D0.7, and P(A…

A: P(A) = 0.6, P(B) = 0.7, P(A and B) = 0.41   for event to be independent, P(A and B) = P(A).P(B) for…

Q: Suppose that E and F are two events and that P(E) = 0.5 and P(FIE) = 0.3. What is F P(E and F)=…

A: We have given that,  If E and F are two events with,  P(E) = 0.5, P(F|E) = 0.3 Then,  P( E and F ) =…

Q: Two events A and B are said to be mutually exclusive if: OA. P(A and B) = 0 B. P(A and B) = 1 OC.…

A: In statistics, an event is a subset of the sample space of a random experiment.

Q: If event A and event B are mutually exclusive, and P(A) = 0.5 and P(B) = 0.3, find P(A and B).

A: From given data we have : P(A)=0.5 P(B)=0.3

Q: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17. Are A and B…

A: Answer -  Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17.…

Q: GIVEN P(E) =0.35 P(F) =0.08 AND P( E AND F) =0.402…

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Q: Two events A and B are said to be independent if P(A|B) = P(B).  True  False

A: Here use basic of independent event

Q: Assume that A and B are events. If P(AUB)= 0.7, P(A) = 0.4, and P(B) = 0.55, find P(ANB). P(ANB) =…

A: We know for two events A and B we have P(A∪B) = P(A) + P(B) - P(A∩B) we are given P(A∪B)=0.7,…

Q: Example 21.5) The following table shows three states of nature (events) and three actions. The…

A: