Q1. In a game of chance a number of draws are placed with replacements from a box of tickets, 500 of these tickets are labeled -1 and 450 of these tickets are labeled 1 and the winnings are equal to the sum of draw. determine whether 50 draws or 500 draws are more likely to maximize your winnings, briefly justify your answer.
Q2. Determine whether the following statement is true or false, and explain briefly. if a simple random sample is taken from a population of registered U.S voters, the percentage of republicans in the sample must be within 1 SE of the percentage of republicans in the population.
Q3. 200 draws are made with replacement from a box of numbered tickets. these tickets are labeled either -2 or3. is it possible for the expected value of the sum to be 50. justify your answer.