he following table shows the results of a survey of students taken at MPC (hypothetical).   prefers face to face courses prefers online courses full time students 205 242 part time students 294 257 Suppose that you pick a student at random from this group of students.  Let A be the event that the student that you pick prefers the face to face classes, and let B be the event that the student that you pick is a full time student. Find P(A∪B)P(A∪B).  Enter your answer as a decimal, rounded to three decimal places.

Q: Suppose that A and B are mutually exclusive events. a. Use the special addition rule to express P(A…

A: a. Events A and B are mutually exclusive. Special addition rule is used. Special Addition Rule If…

Q: ver the following questions. .1. a) Suppose eight team members are girls and six are boys, How many…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: The following table shows the results of a survey of students taken at MPC (hypothetical).…

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Q: Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays…

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Q: Q3: A Cummins diesel engine is available in heavy-duty pickup trucks. The probability of the engine…

A: Let us define some events A : the engine will require an oil change. B : it requires a new oil…

Q: Suppose that A, B are two events such that P(A) > 0 and P(B) > 0.  If A and B are not disjoint, then…

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Q: (c) Let A be the event that the sum of the two numbers tossed is 4 and B be the event that the sum…

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Q: Suppose that we have two events, A and B, with P(A) = .50, P(B) = .60, and P(A N B) = .20. a. Find…

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Q: Q2. A bag contains 3 red and 4 black balls and another bag has 4 red, 2 black and 3 green balls. The…

A: Given, Bag A: 3R, 4BBag B: 4R, 2B and 3G The probability of selecting Bag A is equal to the…

Q: Q5- Two machines A and B produce 20% and 80% respectively of the production of a manufacture. It is…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10 Find the probability of B…

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Q: For mutually exclusive events R1​, R2​, and R3​, we have ​P(R1​)=0.05​, ​ P(R2​)=0.4​, and…

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Q: 7. X and Y are independent events, P(X)=2, nd P(Y) = . What is P(X and Y) 18. J and K are mutually…

A: (17)x and y are independent eventp(x and y)=p(x).p(y)                   =65×19=215 Ans

Q: Assume that for events A and B we have the following:  P(A) = .40, P(B|A) = .20, and P(B) = .30.…

A: Obtain the probability of P(A or B). The probability of P(A or B) is obtained below as follows :…

Q: A and B are two events such that P(A) = 0.2, P(B) = 0.5, and P(A and B) = 0.1.  Find P(A or B).…

A: Given P(A) = 0.2, P(B) = 0.5, P(A and B) = 0.1

Q: The rule P (E U F) = P (E) + P (F) - P (EN F) is used for: * all events disjoint events O Any two…

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Q: A and B are two events such that P(A) = 0.3, P(B) = 0.4, and P(A and B) = 0.1.  Find P(Bc). Select…

A: Given P(A) = 0.3, P(B) = 0.4, P(A and B) = 0.1

Q: For independent events A and B , P(A)=0.80 and P(B)=0.20, Find P(A∩B')   16/25   1/4   4/25…

A: Solution: From the given information, P(A) = 0.80 and P(B) = 0.20.

Q: P(B1)=4,P(B2)=6 and that the bids are independent

A: Given that, Let B1 be the event that the first bid is successful and B2 did the second bid…

Q: 3) Assume two boxes are present: The first box contains 4R(red), 3W(white) balls the second 5R,2W.…

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Q: Suppose two dice (one red, one green) are rolled. Consider the following events: A: the red die…

A: Given events are A: the red die shows 3, D: the numbers do not add to 11. We have to express the…

Q: A bowl contains 5 white balls, 10 red balls, and 15 blue balls. You are to randomly select two balls…

A: Given problem Given that   A bowl contains 5 white balls, 10 red balls and 15 blue balls . You are…

Q: The table shows the seasons when 7 different students play a sport. One of these seven students will…

A: Introduction: The students 1, 4, 5, and 7 play a fall sport; the student 6 plays a spring sport; the…

Q: Suppose that A, B and C are three independent events with P(A)=0.20 P(A interception B)= 0.08 and…

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

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Q: A magician's hat contains black rabbits and white rabbits. The magician selects two rabbits without…

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Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

Q: 2]. Let the events A = {x 0.75}. (a) Find the probabilities of A, B, A N B, and A Nc. (b) Find the…

A: Calculate the events of A,B and C. A=[-1,0) Since, A=x<0. Given that, B=|x-0.5|<0.5 Thus,…

Q: A and B are independent events. If Pr(A∩B)=0.4 and Pr[A]=0.5 what is Pr[B]Pr[B]?

A: It is given that, P(A)=0.5, P(A and B)=0.4.

Q: A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2. Let R be the event of…

A: Introduction: The outcome Blue 2 will be a possible outcome whenever the possible outcomes of an…

Q: A and B are two events such that P(A) = 0.4, P(B) = 0.5, and P(A|B) = 0.3.  Find P(A and B). Select…

A: From the provided information, P (A) = 0.4, P (B) = 0.5, P (A|B) = 0.3

Q: PrtSc FIZ Insert Delete H + 5. Astandard (fair, well-shuffled) deck of playing cards is cut, the aut…

A: Note:Hey, since there are multiple sub-parts question posted, we will answer first three sub-parts.…

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: A. A box is filled with several party favors. It contains 11 hats, 19 noisemakers, five finger…

A: Probability of an event is the ratio of number of favourable outcomes to total number of possible…

Q: Let A and B be events with P(A) = 0.5, P(B) = 0.4. Assume that A and B are independent. Find P(A and…

A: Here the events are indepenedent P(A) = 0.5 P(B) = 0.4

Q: Suppose A and B are two events with P(A)=.35 and P(B) =.6. Find P(A or B) assuming A and B are…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: 3. If A and B are mutually exclusive events with P(A) = .3 and P(B) = 0.5, then P(A N B) = %3D .30…

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Q: Consider randomly selecting a student at a large university, and let A be the event that the…

A: Given P(A) = 0.6 P(B) = 0.4 P(A ∩ B) = 0.5

Q: Show  that :If A and B are independent, it follows that the following events are also independent:…

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Q: Assume that for events A and B we have the following:  P(A) = .40, P(B|A) = .20, and P(B) = .30.…

A: Hi! Thanks for posting the question. Since there are more than one question we will answer first…

Q: Suppose two dice (one red, one green) are rolled. Consider the following events: A: the red die…

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Q: Q. 2 Suppose the following three boxes are given: Box A contains 3 red and 5 white mobile phones Box…

A: Let R represent the red, and W represent the white   Box A: 3R, 5W Box B: 2R, 1W Box C: 2R, 3W…

Q: Suppose that A and B are two events for which P(A)=0.31, P(B)=0.68, and P(AandB)=0.31 Find P(A|B)

A: According to the given information, we have There are two events A and B i.e. P(A) = 0.31 P(B) =…

Q: Q6. Dr. Lawrence has three boxes. Their contents are Box 1: 2 red balls and 4 white balls Box 2: 4…

A: The given data: Box 1: 2 red balls and 4 white balls Box 2: 4 red balls and 2 white balls Box 3: 3…

Q: Suppose there are 75% females and 25% males at UWI (students). This translates to a 75% chance is…

A: An independent event is an event that has no connection to another's event's chances of happening(or…

Q: Suppose that we have two events, A and B, with P(A) = .70, P(B) = .60, and P(A N B) = .40. a. Find…

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Q: Consider randomly selecting a student at a large university, and let A be the event that the…

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Q: Let A be the event that a business executive selected at random has stomach ulcer and B that he has…

A: Solution is given:

Q: The table displays the number and type of tickets bought for a play that was performed in both the…

A: Let A represents 'a child tickets is bought for a play' and B represents 'the play is performed in…

Q: Show that the multiplication law P(AnB) P(A/B) P(B), established for two events, may be generalized…

A: We know that, from the conditional probability- P (A⋂B) = P (A/B) P(B) Let, B and C be a single set.…