QUESTION 1 Find E(X), Var(X), o(X) if a random variable x is given by its density function f(x), such that f(x) = 0, if x 0 f(x) = 3x, if 0 < x < 1 f(x) = 0, if x > 1 Make Worksheet Attach File Browse Local Files Browse Content Collection QUESTION 2 Let X be given by its distribution function F(x), such that F(x) = 0, if x 0 F(x) = x, if 0 < x < 1 F(x) = 1, if x > 1 Find E(X), Var(X), o(X) Make Worksheet Attach File Browse Local Files Browse Content Collection QUESTION 3 A thermostat is set on 70 degrees. A room temperature is distributed normally with the standard deviation of .1. What is the probability that the room temperature will be higher than 70.2 degrees? Make Worksheet Attach File Browse Local Files Browse Content Collection QUESTION 4 The density function of a random variable X is given by f(x) (x+1.4)2 1 = 18 32 Find its math expectation and variance. Make Worksheet Attach File Browse Local Files Browse Content Collection QUESTION 5 Find the density function of a normally distributed random variable X, if E(X) = 2.4 and (X) = 3.2 Make Worksheet Attach File Browse Local Files Browse Content Collection Browse Local Files. Opens the File Upload window to upload files from your computer.