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1. Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 2 hours and 2 hours, 20 minutes. Let the time unit be one minute.
a. Write the formula for the probability curve of x.
b. Graph the probability curve of x.
c. Find P(125 < x < 135).
d. Find the probability that a randomly selected flight between the two cities will be at least five minutes late.
2. Suppose that the 33rd percentile of a normal distribution is equal to 656 and that the 97.5th percentile of this this normal distribution is 896. Find the mean and standard deviation of the normal distribution.
3. A fair die is rolled n = 54 times and four sixes are observed.
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