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A salesperson travels regularly between her home in NYC to her main customer in Boston. Because...

A salesperson travels regularly between her home in NYC to her main customer in Boston. Because of traffic conditions the amount of gas she needs is not always the same. In fact, the amount of gas needed for this trip is normally distributed with a mean of 12 gallons and a standard deviation 1.5 gallons. Her car can hold 13 gallons of gas.

a.     Suppose she sets out with a full tank. What is the probability that she will be able to make the trip without having to stop for more gas?

b.     What is the probability that she will need between 13 and 15 gallons to make this trip?

c.      How many gallons should she leave with in order to have a 99% chance of making the trip without having to stop for gas?

d.     Suppose her car has only 10 gallons in the tank when she sets out. What is the probability she will have to stop for gas before she reaches Boston?

Math   Statistics-And-Probability   
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