The 7:30 AM train to NYC in the morning has a seating capacity of 75 passengers.
ID: 3181822 • Letter: T
Question
The 7:30 AM train to NYC in the morning has a seating capacity of 75 passengers. The train runs Monday-Friday. Based on ticket prices, the MTA will start turning a profit if there are more than 55 passengers on any given trip into NYC. The average number of passengers for the 7:30 to NYC is 68 passengers with a standard deviation of 8.27 to passengers. Since the MTA is concerned about losing money due to the tight budget; they have asked you to determine the probability that in any given day, the 7:30 train NYC turns a profit.Explanation / Answer
Answer:
Z value for 55, z =(55-68)/8.27 =-1.57
Z value for 75, z =(75-68)/8.27 =0.85
P( 55<x<75)= P( -1.57<z<0.85)
=P( z <0.85) – P( z < -1.57)
=0.8023 - 0.0582
=0.7441
The required probability = 0.7441.
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