Please explain how you got your answers.

1. In the Massachusetts Pick Four lottery game, you win thejackpot by selecting 4 different whole numbers from 1 to 39 and getting the same four numbers {in any order) that are later drawn. a) What is the probability of winning a jackpot in this game? b} What is the probability of winning a jackpot in this game {if the order of the numbers selected matters)? 2. Male Color Blindness - When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness (based on data from the National Institutes of Health). P(x) 0 0.659 1 0.287 2 0.050 3 0.004 4 0.001 5 0.000 a) Determine whether a probability distribution is given. If a probability distribution is not given, identify the requirements that are not satisfied. b) Find the mean and standard deviation of the given distribution.3. City of Quincy: Raffle - A flit}!r of Quincyr raffle offers one 3800 prize, two $400 prizes and seven $100 prizes. Two thousand tickets are sold at $50 each. Find the expectation (from the perspective of the player} if a person buys one ticket. 4. Making Chocolates At the Sterling Chocolate Factory, a particular machine on the chocolates assembly line fails to insert the correct cream filling approximately 1.2% of the time. Chocolates without the correct lling cannot be processed into boxes of chocolates for shipping. a) Find the mean and standard deviation for the number of incorrectly filled chocolates per 10,000 made on the assembly line. b} In a particular batch of 10,000 chocolates, would 400 incorrectly filled chocolates be unusually low or unusually high? 5. Slot Machine Jackpots - At Foxwoods Casino, the probability of winning the slot machine jackpot if 5 quarters are placed in the machine before you pull the handle is 1/82,456, 732. If you placed this 5-quarter bet each week for 30 years, you would play this slot machine 1560 times. a) Find the mean and standard deviation for the number of jackpots a person would win if they played this bet every week for 30 years. b) Would it be unusual for someone to win this jackpot at least once if they placed this 5-quarter bet each week for 30 years