The number of miles driven by a truck driver in a day falls between 200 and 600,

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

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.