Instructions : with solutions

9 Let's Practice! Quippor Individual Practice: 1. Given the probability distribution of a random variable}! below, compote for the expected value. Try It Yourself! X and Y are independent random variables with E(X) = 3, E(Y) = 2, Var(X) = 2, and Var (Y) = 4. Find the following: a. Var(2X - 3) b. Var(2X - 3Y)Try It Yourself! Suppose you play in a game where it is possible to lose P100, break even, win P300, or win P1000 each time you play. The probability distribution for each outcome is provided by the following table: X -P100 P0.00 P300 P1000 P(X = x) 0.30 0.40 0.20 0.10 Calculate the expected outcome from this game.9 Let's Practice! Quipper Individual Practice: 1. In a particular normally distributed set of scores. the mean is 43.25 and the standard deviation is 12.47. Determine the approximate location of the score 1: = 62.34 in terms of the standard deviation. 2. Determine the probability density function of a normal distribution whose mean is 25 and standard deviation is 1