ecall the airplane puzzle from the lab: the first person to get on the plane picks a random seat,  the rest sit in their assigned seat if it is available, otherwise pick a random available seat. Assume person i is assigned the seat i.  Suppose person 18 came in and discovered that their seat is taken.  Assuming that  the last person's seat, which is seat number n=32 on this plane,  it is still available, what is the probability that person 18 will randomly pick it?   Hint: to make sure your formula is correct, check that it works for the passenger right before the last one.  Enter your answer as a decimal number  with at most three digits after the decimal point, rounding if necessary.  For example, if your answer is 1/3, round it and enter it as 0.333,  if your answer is 2/3, enter it as 0.667, and if your answer is 1/2, enter it as 0.5.    Your Answer:

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter12: Review Of Calculus And Probability
Section12.5: Random Variables, Mean, Variance, And Covariance
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Recall the airplane puzzle from the lab: the first person to get on the plane picks a random seat,  the rest sit in their assigned seat if it is available, otherwise pick a random available seat. Assume person i is assigned the seat i. 

Suppose person 18 came in and discovered that their seat is taken.  Assuming that  the last person's seat, which is seat number n=32 on this plane,  it is still available, what is the probability that person 18 will randomly pick it?   Hint: to make sure your formula is correct, check that it works for the passenger right before the last one. 

Enter your answer as a decimal number  with at most three digits after the decimal point, rounding if necessary.  For example, if your answer is 1/3, round it and enter it as 0.333,  if your answer is 2/3, enter it as 0.667, and if your answer is 1/2, enter it as 0.5. 

 

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