A lottery has a grand prize jackpot worth 40 million dollars. The chance of winning from purchasing a single ticket is 'l in 9700000. (a) What is the expected value of winning from a single ticket? (Round your answer to the nearest cent.) The expected value of winning is: E dollars (b) Would it be worth to buy a ticket for 1 dollar? 0 Yes ONO Check Suppose you are playing a game. The random variable, K represents your net prot in dollars. The probability distribution of Yis as follows. (Round your answers to 4 decimal places, if needed.) P{lv'=y) 0.1 0.18 ? y 3 2 0 0.2 0:15 (a) What is the mean for net profit? I (b) What is the median for net prot? I (c) What is the standard deviation for net prot? : Check Say you have a biased coin and you associate obtaining a head with the value 0 whereas obtaining a tail has a value of 2. Let X be the sum of the values obtained from tossing the coin three times. {Round your answers to 4 decimal places, if needed.) (a) If the probability of getting heads in a single toss is 0.2, then what is the probability distribution of X? (b) What is P[X