15. Find expected value of the probability distribution. The number of games played in the World Series from 1903 to 2012 (Source: Adapted from Major League Baseball) Games played Probability 4 5 6 7 8 0.176 0.241 0.213 0.333 0.037 16. A charity organization is selling $5 raffle tickets as part of a fund-raising program. The first prize is a trip to Mexico valued at $3450, and the second prize is a weekend spa package valued at $750. The remaining 20 prizes are $25 gas cards. The number of tickets sold is 6000. Find the expected net gain of buying one raffle ticket. 17. Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n = 84, p=0.65 Mean: Variance: Standard Deviation: 18. Determine whether the experiment is a binomial experiment. You draw five cards, one at a time, from a standard deck. You do not replace a card once it is drawn. The random variable represents the number of cards that are hearts.