# probability and statistics!!!!

**Question description**

You are told that flight times from Newark,NJ to Greenville,SC are uniformly distrubuted from 2.5 to 3.5 hours with standard deviation 0.289 hours.

a. . What proportion of flights take between 2.75 and 3.25 hours?

b. . The estimated arrival time for the next flight is 6:00 PM. If the plane left at 3:15PM what is the probability that it will be late?

c. Write the sampling distrubution for the mean flight time of a sample of 16 flights from newark to greenville4. use part c to estimate P( x̄ > 3.125) Interpret your answers in the context of the problem. For example, is this an unusual event?

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