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 100 trains to arrive. Assume wait times are independent.

a) What is the approximate probability (to 2 decimal places) that the sum of the 100 wait times you observed is between 706 and 836?

b) What is the approximate probability (to 2 decimal places) that the average of the 100 wait times exceeds 7 minutes?

c) Find the probability (to 2 decimal places) that 97 or more of the 100 wait times exceed 1 minute.

Question

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 100 trains to arrive. Assume wait times are independent.

a) What is the approximate probability (to 2 decimal places) that the sum of the 100 wait times you observed is between 706 and 836?

b) What is the approximate probability (to 2 decimal places) that the average of the 100 wait times exceeds 7 minutes? 

c) Find the probability (to 2 decimal places) that 97 or more of the 100 wait times exceed 1 minute.

kropot72 · Answer

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anonymous · Answer

thanks, but does it answer part a or part b?