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You play a dice game with two dice. If you roll at most 5 (i.e. the sum of the two numbers is 2, 3, 4 or 5) then you win, if you roll 7 or 10 then you lose, otherwise you have to roll again.
(a) What is the probability that the game ends after exactly four rolls?
(b) What is the expected length of the game?
(c) What is the probability that you will win?
the weights of ripe watermelons grown at mr. smiths farm are normally distributed with a standard deviation of 2.1 lb.
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Calculate 95% and 99% confidence intervals for m. Using the 95% confidence intervals, can we be 95% confident that m is a least 50 pounds? Explain.
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