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please answer both questions parts so I can better understand 9. Every year a high school baseball team holds a fund-raiser raffle. It sells 250

please answer both questions parts so I can better understand

9. Every year a high school baseball team holds a fund-raiser raffle. It sells 250 raffle tickets for $10 each. Suppose you buy a ticket. In this raffle, there is one $200 prize. If you win, you do not get the $10 for purchasing the raffle ticket back. a) Construct the probability distribution table for this raffle from the players perspective.

X P(x)

b) Compute the expected value of this raffle from the players perspective and find the standard deviation.

c) If you buy a raffle ticket for ten years in a row, what is the expected value?

10. We take a random sample of size 50 from a population of dogs at a contest. There is a 25% chance of the dog being a Poodle-mix. a) Find the mean and standard deviation of the number of Poodle-mix dogs at the contest.

b) Find the probability that the sample contains exactly 9 Poodle-mix dogs.

c) Find the probability that the sample has less than 15 Poodle-mix dogs.

d) Find the probability that the sample has at least 20 Poodle-mix dogs.

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