The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 17 minutes. (a) What is the probability density function for the time it takes to change the oil? f(x) = for x ≥ 0 (b) What is the probability that it will take a mechanic less than 18 minutes to change the oil? (Round your answer to four decimal places.) (c) What is the probability that it will take a mechanic between 15 and 17 minutes to change the oil? (Round your answer to four decimal places.) (d) What is the variance of the time it takes to change the oil?

The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 17 minutes. (a) What is the probability density function for the time it takes to change the oil? f(x) = for x ≥ 0 (b) What is the probability that it will take a mechanic less than 18 minutes to change the oil? (Round your answer to four decimal places.) (c) What is the probability that it will take a mechanic between 15 and 17 minutes to change the oil? (Round your answer to four decimal places.) (d) What is the variance of the time it takes to change the oil?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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