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- Suppose Y · Uniform(01,02) where the parameters and O2 take the values -1 and 2 respectively. Compute the probability P(Y < y) when y=1.41.a) Consider the following probability density distribution of random variable X. if 0The 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.State the CLT for independent identically distributed real RVs with mean u and variance a². Suppose that X. X,. . . are independent identically distributed random variables each uniformly distributed over the interval [0, 1]. Calculate the mean and variance of In X. Suppose that 0Suppose that the distribution function of X is given by //check pic // Calculate the probability mass function of XConsider the random variable X with PDF (known as Cauchy distri- bution) f(x) = 7 - 00Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON