In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2,..., 36. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, you win $35; othenivise you lose $1. Complete parts (a) through (9) below. Click here to view the standard normal distribution table (page 1); Click here to view the standard normal distribution table (page 2); (a) Construct a probability distribution for the random variable X, the winnings of each spin. x F(x) 35 0.0263 - 1 0.9737 (Type integers or decimals rounded to four decimal places as needed.) (b) Determine the mean and standard deviation of the random variable X. Round your results to the nearest penny. p = - 0.05 0': 5.76 (c) Suppose that you play the game 70 times so that n = 70. Describe the sampling distribution of i, the mean amount won per game. skewed right. skewed left. approximately normal