Lottery Prizes A lottery offers one $800 prize, one $500 Prize, two $300 prizes, and four $200 prizes. One thousand tickets are sold at $7 each. Find the expectation if a person buys three tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems. The expectation if a person buys three tickets is dollar(s). X 5Construct a probability dis1Iibution for the sum shown on the faces when two dioe, each with 6 faces, are rolled. Find the mean. Round your answer to one decimal place as needed. Do not round intermediate steps. Mean: [1 : D 8 33-8] coffee with Heals A researcher wishes to determine the number of cups of colT'ee a customer drinks with an evening meal at a restaurant. X'O 1 2 3 4 P(X)' 020 0.32 0.43 0.02 0.03 3 Find the mean. Round the answer to ma decimal places as needed. Mean: 1.1.: D El Destination Weddings Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of 3 couples who plan to marry, find the probability of the following. Round intermediate calculations and final answers to three decimal places. OO Part: 0 / 3 Part 1 of 3 (a) Exactly 2 couples will have a destination wedding. P(exactly 2 couples will have a destination wedding) = X 5Tossing Coins Find the mean. variance, and standard deviation for the number of heads when 19 coins are tossed. Round your answers to three decimal places. (a) Find the mean. Mean:p_ = [j 8 EE-IZJ