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

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: Suppose that the probability that there is another pandemic in the next year is 10%. And suppose…

A: Probability is a branch of mathematics or statistics which basically deals with the probability of…

Q: Two events are independent of each other. If the probability of the first is 0.6, and the…

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

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

Q: Lots of games like tennis have a concept of deuce, where if the game is ties at the end you have to…

A: The probability of winning the game is obtained below:From the given information, there are two…

Q: How do you know if a probability is mutually exclusive or not?

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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: If the probability that an event does no occur is 0.3 determine the probability that the event…

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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: How do you show that two events are independent?

A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)

Q: Which pairs of events are independent? P(A)=0.55, P(B)=0.65 p(A&B)=0.35?

A: Two events are said to be independent if PA and B=PA·PB.

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 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 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: Assume the following probabilities for two events, A and B: P(A) = 0.50, P(B) = 0.70, P(AUB) = 0.85…

A: Answer: - Given Two events A and B:                 P(A) = 0.50, P(B) = 0.70, and P(A∪B) = 0.85…

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: A disease affects 1 out of every 500 people. If you have the disease, you test positive 90% of the…

A: P( a person affected by the disease) = P(D) = 0.002 P( a person not affected by the disease) = P(ND)…

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: Because not airline passengers show up for their reserved seat, an airline sells 125 tickets for a…

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Q: I hit two traffic lights on my way to work each morning. Both lights operate independently. The…

A: Let,  Ri : i th traffic light is red , i=1, 2Rci : i th traffic light is not red , i=1, 2   P(R1∩R2)…

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: Find the probability of an event E if the odds for E is equal to the odds against

A: Odds of an event:The odds an event is given by the ratio of the probability of the event to its…

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

A: Answer : 0