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The actual delivery time from Giodanni’s Pizza is exponentially distributed with a mean of 20 minutes. a. What is the probability that the delivery time will exceed 30 minutes? b. What proportion of...

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The actual delivery time from Giodanni’s Pizza is exponentially distributed with a mean of 20 minutes.

a. What is the probability that the delivery time will exceed 30 minutes?

b. What proportion of deliveries will be completed within 20 minutes?

 

Answered Same Day Dec 25, 2021

Solution

David answered on Dec 25 2021
117 Votes
Let X is a random variable shows the actual delivery time
  /20
1
, 0
20
xf x e x 
a)
The probability that the delivery time will exceed 30 minutes is
     
 
30
20
30
20
30
30
1
20
0.2231
x
x
P X f x d x
e d x
e





 

   


 ...
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