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The demand for water from a certain city (in millions of gallons) follows an exponential distribution...

The demand for water from a certain city (in millions of gallons) follows an exponential distribution with a lambda = 1/8.
A. If water resource capacity is 10 million gallons. What is the probability of in one day any supplies are insufficient?
B. In the next ten days, what is the probability that we will have water shortages in exactly two days?
C. If an inspector arrives, and every day checks for water shortages, how many days of average will you have to keep your inspection if you stop when you find two days of water shortages?
D. What is the probability that total consumption in a week is between 56 and 70 million?
E. What is the probability that total consumption in a month is between 200 and 240 million?

Math   Statistics-And-Probability   
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