Let S be a sample space and two mutually exclusive events A and B be such that AUB = S. If P(-) denotes the probability of the event, the maximum value of i P(A)P(B) is

Q: Q1) A discrete random variable x has the probability distribution p(X = k) for occurrence of x as…

A: We have given a discrete random variable.x       0  1    2   3  p(x)   k  2k 3k 4kWe have to…

Q: Let X be the number of successes in five independent trials in a binomial experiment in which the…

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Q: 2 Suppose A and B are events in a sample space Q and that P(A) = , P(B) = ; and P(AN B) -) P(A|B) >)…

A: Given that PA=25P(B)=13P(A∩B)=110 c) P(A'|B)=P(A'∩B)P(B)               =P(B)-P(A∩B)P(B)…

Q: For a continuous random variable X. we can compute the probability of P (a < X<b) by O Fibl-Fla) O…

A: GivenP(a&lt;X≤b)

Q: There are two dice where one is a fair dice, and the other is a loaded dice. The loaded dice has…

A: The sample space for the experiment mentioned in the question can be given as, S={(1,1), (2,1),…

Q: If X is a random variable having a geometric distribu-tion, show that P(X = x + n|X &gt; n) = P(X =…

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Q: Let A and B be events such that P(A)=1/4, P(A or B)=1/3, and P(A and B)=1/5. DetermineP(B)

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Q: 1. Suppose A and B are events in a sample space 2 and that P(A) = , P(B) = ; and P(AN B) = Calculate…

A: Given - let A  and B are events in a sample space . P(A) = 25    P(B) = 13 and  P ( A ∩ B) = 110 To…

Q: The number of accidents in a certain city is modeled by a Poisson random variable with an average…

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Q: pose that two teams play a series of games that ends when one of them has won 3 games. Suppose that…

A: Given Let X shows teh number of game played. Let A shows the event that Team will win and B shows…

Q: et A and B be two events in a sample space U, such that: P(A) = 0.55, P(B) = 0.25 and P(AuB) = 0.60…

A: a) The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩…

Q: Let A and B be independent events defined on the same sample space such that P(A U B)= 0.6 and P(B)…

A: Given ,P(AUB)=0.6P(B)=0.2and A, B  are independent events.

Q: Q and R are independent events. P(Q) = 0.4 and P(R) = 0.23. Assuming that find events A and B arise…

A: From the given information, Q and R are independent events. That is, P (Q) =0.4,  P (R) =0.23 Since,…

Q: you say about P(B)?

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Q: Event A and Event B are equally likely, mutually exclusive, collectively exhaustive and independent…

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

Q: Let A and B are events of an experiment and P(A) = 1/4, P(AUB) = 1/2 then value of P(B/AC) is

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Q: If A and B are events in a sample space S, then P(AUBC) is equal to P(AnB) +P(A°) P(AnB) +P(A°)…

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Q: Let W be the event that a randomly chosen person drinks sixty-four ounces of water per day. Let V be…

A: The conditional theorem of probability is:

Q: Sample of n subjects (where n is large) cross-classified according to disease status and screening…

A: Given the result of a sample of n subjects cross classified according disease status and screening…