Frank Catton, the general manager of Billybob's floating raft hotel and casino in Tunica Mississippi, has installed the "The Wheel of Doughnuts" at the hotel check desk. When someone checks in they spin the wheel and the next morning a plate containing that many free hot doughnuts is delivered to their room. Let ^p be the proportion of people in a sample of 59 guests that get 13 free doughnuts. Find for all possible samples groups of 59 guests.
What is the average sample proportion for the population consisting of all such possible sample proportions?
What is the standard deviation of the population consisting of all such possible sample proportions?
What is the variance of the population consisting of all such possible sample proportions? (Round to 6 decimal places as needed)
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