If X and Y are independent, then what is the probability of the event Y > 4X?

Q: Juan has a fair six-sided die, if Juan rolls the die twice in a row, what is the probability that…

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Q: (P(A) = 0.80, P(B ) = 0.70, P(A&B)= 0.56 Which pair of events are independent?

A: The given probabilities are PA=0.80,PB=0.70,PA&B=0.56.

Q: It is known that P(AB)=0.45, P(B)=0.90 and the events A and B are independent.                Find…

A: Independent events are events that do not affect the outcome of subsequent events.

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

A: Since you have posted multiple sub-parts, we will solve the first three sub-parts for you. To get…

Q: The following table gives the percentage of students enrolled in one mathematics courses at a…

A: The table shows the percentage of students enrolled in one mathematics course at a university.

Q: Suppose you play a game that you can only either win or lose. You win a game with probability 0.538.…

A: It is an application of Binomial distribution .Binomial distribution occurs as a consequence of…

Q: A continuous random variable X has density function f(x) = 1.5(1-x²), 0 ≤ x ≤ 1. a) Calculate the…

A: The density function of continuous random variable X is f(x)=1.5(1-x2).    for 0≤x≤1We have to…

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

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…

A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…

Q: Suppose the probability that it will rain tomorrow is 0.38. What is the probability that it will not…

A: Probability of an event:The total probability of an event is 1. The formula for the probability of…

Q: If A and B are any two events with P(A) =.8 and P(B|A) = 0.4, then the probability of A and B is?

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Q: The probability that team A loses against team B is 0.6 and the probability that team C wins against…

A: Let μi denotes the performance score for the team i. Thus, the performance score for teams A, B, and…

Q: If two events A and B are independent and you know that P(A) = 0.60, what is the value of P(A | B)?

A: Solution: From the given information, A and B are two independent events and P (A) =0.60.

Q: If two events A and B are independent and you know that P(A) = 0.70, what is the value of P(A | B)?

A: If the event A and B are independent

Q: If the probability of a family owning a cat is 0.10, and the probability of owning a dog is 0.20,…

A: From the provided information, Let P(A) represents the probability of owing a cat which is P (A) =…

Q: 6. Find the probabilities of the in find the probability of the combined event. a. Two dice are…

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Q: You roll a 6 sided dice. The dice is not fair, because the probability of rolling a one is 0.180. If…

A: Solution: Let X be the number of times roll one and n be the sample number of times a dice is…

Q: You're gambling at a casino. Suppose the probability that you win roulette is 0.461 and the…

A: Let A denotes winning of roulette and B denotes winning of blackjack. Given: PA=0.461PA∩B=0.181 A…

Q: A couple has two children. What is the probability that both are girls if the older of two is a…

A: The couple has two children.

Q: Ian rolls the two dice and will win the game if the sum of the numbers of the two dice is 8. What is…

A: Two dice are rolled, outcome of this event is: Ω= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: When occurrence of one outcome does not cause the probability of occurrence of another subsequent…

A: We have given that, When occurrence of one outcome does not cause the probability of occurrence of…

Q: If probability of a single birth resulting in a boy is 0.435, then what is the probability of it…

A: Given that the probability of a single birth resulting in a boy is 0.435. Than we have to find the…

Q: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

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Q: Suppose you play a game that you can only either win or lose. You win a game with probability 0.40.…

A: Given data: Probability = 0.40 n = 10 Each game is independent

Q: A couple decides to continue to have children until they have two males. Assuming that P(male) =…

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Q: Suppose P(A) = 0.2 and P(B) = 0.35, and P(A or B) = 0.48, for two events A and B. What is the…

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Q: If two events A and B are independent and you know that P(A) = 0.50, what is the value of P(A | B)?

A: As the events A and B are independent, the probability of occurrence of A is not impacted by the…

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: Let us denote  R=rain S=sunny Given that P(R)=20%=0.20, P(S)=60%=0.60, P(R and S)=10%=0.10

Q: Suppose that the probability of rain tomorrow is 0.4 What are the odds in favor of rain tomorrow?

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Q: The probability of an event A is equal to the product of the probabilities of the outcomes contained…

A: Is the statement true or false? Statement: The probability of an event A is equal to the product of…

Q: suppose that 90% of students take math, 20% of students take chemistry and 15% take both. select a…

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Q: In tennis scoring, a ‘game’ is won by the first player to win 4 points. Suppose player A has…

A: The given score is 4-1. This means the total number of matches played= 4+1=5 Player A won 4 times.…

Q: P(Ac)=?  If the probability of event A is 0.53.

A: It is given that, The probability of even A is 0.53. That is , P(A)=0.53

Q: Two basketball players are very different when it comes to making free throws. Justin makes 90% of…

A: Let, X = Number of free throws Justin makes.And Y = Number of free throws mark makes.Given,Justin…

Q: A couple has two children, and the older child is a boy. If the probabilities of having a boy or a…

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Q: If event X is impossible, what is the P(X), i.e. the probability of X occurring?

A: Answer : 0

Q: Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial…

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both.…

A: The probability of the union of two events is: P(E1∪E2)=P(E1)+P(E2)-P(E1∩E2) Where, P(E1) is the…