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In: Statistics and Probability

17#4 The wait time (after a scheduled arrival time) in minutes for a train to arrive...

17#4

The wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [ 0 , 15 ] . You observe the wait time for the next 95 trains to arrive. Assume wait times are independent.

Part a) What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between 670 and 796?

Part b) What is the approximate probability (to 2 decimal places) that the average of the 95 wait times exceeds 7 minutes?

Part c) Find the probability (to 2 decimal places) that 92 or more of the 95 wait times exceed 11 minute. Please carry answers to at least 6 decimal places in intermediate steps

Part d) Use the Normal approximation to the Binomial distribution (with continuity correction) to find the probability (to 2 decimal places) that 56 or more of the 95 wait times recorded exceed 5 minutes.

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Expert Solution

orchestra answered 1 year ago
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