Please solve. Need in 1 hour

July 2Z, 2022 at 10.06 PM In a variant of the carnival game Chuck-a-Luck, the player bets $2 on a number from 1 to 6, and then three dice are rolled. The player wins back her bet plus $2 if exactly one die shows her number, $6 if two dice show her number, and $10 if all three dice show her number. Let the random variable X denote the player's Number of dice Pr(X=k) winnings after one game, and let k denote the showing the possible values of X. Fill in the table to the number right. -2 5787 4 .3472 8 .0694 W 1 12 .0046 Type integers or fractions.) The table summarizes the number of degrees awarded in statistics at two universities during the past 13 years. For example, two degrees University A University B were awarded at University A during 2 of the last 13 years. Number Number Number of Number of Years of Degrees Degrees of Years 2 4 DUINO (a) Find the population mean and standard deviation for the number of degrees awarded each year at each university. The mean for University A is approximately 3.62 . (Type an integer or decimal rounded to the nearest hundredth as needed.) The standard deviation for University A is approximately 1.211 . (Type an integer or decimal rounded to the nearest hundredth as needed.)