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- (26) Let X b(8,- Var-x) and distribution function.Find the mean and variance for the probability distribution given by f(x)= 2x k(k+1)* -,x=1,2,3,...kIf 25% of the oranges produced by a farm is defective in a random sample of 20 oranges, then if the variable X represents the number of defective oranges in the required sample: Calculate (X> 3) exactly
- Suppose that f(x) = 0.125x for 0 < x < 4 Determine the mean and the variance of X.Suppose that the random change in value of a financial asset is X over the first day and Y over the second. Suppose also that Var(X) =18 and Var(Y) = 26 In this case, the total change in the value over these two days is given by X +Y. Do you have enough information to compute Var(X +Y)? If so, compute this value. If not, explain what additional information you need to do so.Let X, and X2 be independent exponential distributions with the same parameter 2. What is the joint distribution of Y, = X, + X2 and Y, X1 -? What are the distributions of Y, and X1+X2 Y2?
- EX7.8) Let Y be a random variable having a uniform normal distribution such that Y U(2,5) 2 Find the variance of random variable Y.5) Let Y be binomial (n = 4, II = .3) (a) Calculate the mean and variance by filling in the following table: f(yi) Xi X f(Yi) Yi2 X f(yi) b) Calculate the mean and variance of Y using formulas.Find variance of Y1