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1. The scheduled arrival time for a daily flight from Boston to New York is 9:30...

1. The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time follows the continuous uniform distribution with an early arrival time of 9:16 am and a late arrival time of 9:56 am.

a. After converting the time data to a minute scale, calculate the mean and the standard deviation of the distribution. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

b. What is the probability that a flight arrives late (later than 9:30 am)? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

2. The manager of a night club in Boston stated that 80% of the customers are between the ages of 21 and 27 years. If the age of customers is normally distributed with a mean of 24 years, calculate its standard deviation. (You may find it useful to reference the z table. Round "z" value to 3 decimal places and final answer to 2 decimal places.)

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