Question: can u help me? below is the format for the expected values, variance and standard deviation: I. EXPECTED VALUES DE RANDOM VARIABLES (15 points each]

can u help me? below is the format for the expected values, variance and standard deviation:

can u help me? below is the format for the expected values,variance and standard deviation: I. EXPECTED VALUES DE RANDOM VARIABLES (15 points

I. EXPECTED VALUES DE RANDOM VARIABLES (15 points each] 1. A game of dice consists of rolling a pair of dice and getting the sum of numbers that turn up. If the sum is either 6 or 9, the player wins P100. Otherwise he pays P20 1 2 3 4 5 8 7 2 3 4 5 6 1' 3 3 4 5 6 1' El 9 4 5 B 'l' B 9 10 5 6 7 8 9 10 11 6 '1' 8 9 1C! 11 12 a. Construct the probability distribution forthe random variable X which represents the amount of player's winsjlosses. b. Compute the expected value, variance and standard deviation of the game. 2. A car wash attendant is paid according to the number of cars that are serviced during his shift. If)( is the amount of income the attendant receives over a twohour period, compute the a] employee's expected earnings for two hours b) variance and c]: standard deviation. The probability distribution of x is shown below. 5-3 125 150 pm. 1 2 2 1 1 '1 7 7 7 7

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