14.25 Hot Spot. Hot Spot is a California lottery game. Players pick 1 to 10 Spots (sets of numbers, each from 1 to 80) that they want to play per draw. For example, if you select a 4 Spot, you play four numbers. The lottery draws 20 numbers, each from 1 to 80. Your prize is based on how many of the numbers you picked 27% Page 1584 of 6452 . Location mmatch one of those selected by the lottery. The odds of winning depend on the number of Spots you choose to play. For example, the overall odds of winning some prize in 4 Spot is approximately 0.256 You decide to play the 4 Spot game and buy 5 tickets. Let X be the number of tickets that win some prize. 6452 Location 18277 of 68468 6:10 32.F Mostly cloudy 3/7/a. X has a binomial distribution. What are n and p? the location of the mean on your histogram. b. What are the possible values that X can take? 14.26 Roulette-Betting on Red. A Find the probability of each value roulette wheel has 38 slots, numbered of X. Draw a probability histogram 0, 00, and 1 to 36. The slots 0 and for the distribution of X. (See Figure 00 are colored green, 18 of the others 14 2 on page 331 for an example of are red, and 18 are black. The dealer a probability histogram.) spins the wheel and at the same time d. What are the mean and standard rolls a small ball along the wheel in the deviation of this distribution? Mark opposite direction. The wheel is carefully Page 1585 32'F Mostly cloudy