Probability & statistics

[-/4 Points] DETAILS BBUNDERSTAT12 5.1.019.MI. MY NOTES ASK YOUR TEACHER PRACT Norb and Gary are entered in a local golf tournament. Both have played the local course many times. Their scores are random variables with the following means and standard deviations. Norb, X1 : 41 - 135; 61 - 8 Gary, X2: H2 - 120; 62 - 14 In the tournament, Norb and Gary are not playing together, and we will assume their scores vary independently of each other. (a) The difference between their scores is W = X, - x2. Compute the mean, variance, and standard deviation for the random variable W. (Round your answers to one decimal place.) N (b) The average of their scores is W - 0.5x, + 0.5x,. Compute the mean, variance, and standard deviation for the random variable W. (Round your answers to one decimal place.) (c) The tournament rules have a special handicap system for each player. For Norb, the handicap formula is L = 0.8x, - 8. Compute the mean, variance, and standard deviation for the L. (Use 2 decimal places.) (d) For Gary, the handicap formula is 4 - 0.85x2 - 2. Compute the mean, variance, and standard deviation for the random variable L. (Use 2 decimal places.) Need Help? Read It Watch It Master It 52-F O hp Rain off and on