Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 19 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 90 and 139 miles in a day. Round your answer to four decimal place
Given,
= 100 , = 19
We convert this to standard normal as
P(X < x) = P(Z < ( x - ) / )
So,
P( 90 < X < 139) = P(X < 139) - P(X < 90)
= P(Z < ( 139 - 100) / 19) - P(Z < ( 90 - 100) / 19)
= P(Z < 2.05) - P(Z < -0.53)
= 0.9798 - 0.2981 (From Z table)
= 0.6817
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard...
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