SOLUTION: 10 is the average no of tankers arriving at port per day. the facilities being provided at port can handle up to 15 tankers per day.what is probability that same tankers will have

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Question 1124990: 10 is the average no of tankers arriving at port per day. the facilities being provided at port can handle up to 15 tankers per day.what is probability that same tankers will have to turn away on a given day.
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.

From the first glance,  it is clear that the given info/input is  NOT  SUFFICIENT  to solve the problem - so,  appropriate
auxiliary assumptions should be made.

Moreover,  making appropriate and likelihood assumptions is the  PART of the solution. 


I will assume that the random variable  X = "the number of tankers arriving at port per day"  is uniformly distributed 
with the average value of 10.


Then the minimum value of this random variable is 0, while its maximum value is 20.


Thus the total set of its values has 21 element from 0 to 20.



Then the probability that  16 or more tankers will arrive in some day is this ratio


P(X >= 16) =      (5 values 16, 17, 18, 19 and 20 accounted), 


which is 0.2381 = 23.81% (approximately with two valid decimal places).


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