the amount of water distributed every week follows the normal distribution with mean 12250 million liters and standard deviation of 2500 million liters. the starting supply of water is 19750 million liters and there is a scheduled weekly distribution of 12000 million liters.
a. find the probability that, after 12 weeks, the supply of water will be below 5000 million liters
b. how much should the weekly delivery be so that after 12 weeks the probability that the supply is below 5000 million liters is only 1.5%?
c. what kind of problem is this?
d. what is the significance of 12 weeks and the weekly schedule of distribution?
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