What is P(X=0,Y=2)?
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What is P(X=0,Y=2)?
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- Suppose that Y is a uniform continuous random variable on the interval (1,11). Calculate the expected value of the random variable (Y− 1)². Use one decimal place accuracy.The joint probability function of two discrete random variables X and Y is given by f(x,y)=(1/42) (2x+y) where, x=0,1,2; y=0,1,2,3. Find P(x21, ys2). Use 4 decimal places.Let Y be a continuous random variable where the pdf of Y is f(y) = 30y* (1 – y), 0< y < 1, and 0 elsewhere. .Find variance of Y 1/25 O 5/196 1/20 O 1/48 2/63 O
- Let X be a continuous random variable with PDF 3 x > 1 x4 fx(x) = otherwise Find the mean and variance of x.Let m(t) = 1/10 + (1/10)et + (3/10)e2t + (1/2)e3t be the moment gen- erating function of random variable Y . Find the following a) E(Y), b) E(Y2), c) V(Y), d) the probability distribution of Y .The joint Pdf of the random variables X and Y is 1 fxy (*, y) e-lxi – lyi for- oLet X be a discrete random variable with probability mass function P(X= x) =p(1 −p)^x ; x= 0,1,2,.... Here p∈[0,1]. Calculate the moment generating function (MGF) of X, the mean, and variance of this distribution (using the MGF).Let X and Y be two random variables with joint probability mass function: p(x,y) = 1/48 xy(1+y) ??? x=1,2,3 ??? y=1,2 p(x,y) = 0, Otherwise. Please enter the answer to 2 decimal places. What is the variance if (4-2X)?
