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The water level of a certain reservoir is depleted at a constant rate of 1000 units daily. The reservoir is re?lled by randomly occurring rainfalls. Rainfalls occur according to a Poisson process with rate 0.2 per day. The amount of water added to the reservoir by a rainfall is 5000 units with probability 0.8 or 8000 units with probability 0.2. The present water level is just slightly below 5000 units.
(a) What is the probability the reservoir will be empty after ?ve days?
(b) What is the probability the reservoir will be empty sometime within the next ten days?
If the sample mean is 10.0 and the sample standard deviation is 0.15, find the 95% confidence interval estimate for the true mean.
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The probability of a player weighing more than 241.25 pounds on a team with the mean weight of 200 pounds and a standard deviation of 25 pounds is ??
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