The number of miles driven by a truck driver in a day falls between 200 and 600,
ID: 3172654 • Letter: T
Question
The number of miles driven by a truck driver in a day falls between 200 and 600, and follows a uniform distribution.
(a) Find the probability that the truck driver goes more than 550 miles in a day. (Round your answer to three decimal places.)
(b) Find the probability that the truck drivers goes between 225 and 550 miles in a day. (Round your answer to three decimal places.)
(c) At least how many miles does the truck driver travel on the furthest 20% of days? (Enter your answer as a whole number.) miles
Explanation / Answer
number of miles driven by a truck driver is U~(200,600)
a)probability that the truck driver goes more than 550 miles in a day = (600-550)/(600-200) = 50/400 = 1/8 = 0.125
b) probability that the truck drivers goes between 225 and 550 miles in a day = (550-225)/(600-200) = 325/400
c)let m be the no of miles the truck driver travel on the furthest 20% of days
(600-m)/400 = 0.2 => m = 520