Let U be a Uniform(0, 1) RV. Suppose X = 2U-1. What is The probability that X > 0?

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A: # Here  given that X~U nia,b       fx =1b-a   '   a≤x≤b  0            ' other

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Q: Q. 15 Give classical (Laplacian, mathematical) definition of probability.

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Q: 3. Let f(x,y) = for x,y 20. Compute the probability that X> 1 given that Y = y for some y. V

A: Solution is given below

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Q: B. Let X and Y be random variables and let A e B. Prove that the function

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Q: the probability

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Q: The events A and B are such that P(BIA)= 0.2, P(B|A') = 0.3, P(A|B)= 0.4 and P(A) = p a) Find the…

A: the events A and B are such that P(B|A)=0.2,  P(B|A')=0.3,  P(A|B)=0.4 and  P(A)=p

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Q: Let {Xn,n 2 1} be i.i.d. with P(X1) = p = 1– P(X1 = 0). What is the probability that the pattern 1,…

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Q: 2. An coin is tossed repeatedly, where heads appear with probability p- - Let X be the number of…

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Q: Part (a) Construct a tree diagram of the situation.   Part (b) P(C) =   Part (c) P(F | C) =

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Q: 61. Find a fixed probability vector for 0 0 0 1 1/2 0 0 0 0 0 1/2 1/3 2/3 0 1 0

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Q: 12. The continuous random variable X has probability density function S2xe, >0 fx(x) = 0, %3D…

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Q: L) Compute the probability that the fourth 1 appears on the 10th roll

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Q: Theorem 3-14. For a fixed B with P( B) > 0, P (A \ B) is probability function.

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A: To find: P(X&gt;= -1 , Y&gt;1) = ??

Q: 3. Let X, X,, X, be i.i.d. Exp(k) where 2= 1/10,000 hours. Assume X, represents the life of an…

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