A certain assembly line at Vexing Manufacturing Company averages 30 minutes between breakdowns. What is the probability that less than 6 minutes will elapse before the next breakdown?
A).8187
B).0488
C).1813
D).2224

Question

Quizplus · Accepted Answer

The problem describes an exponential distribution with a mean of 30 minutes. The probability that less than 6 minutes will elapse is found using the cumulative distribution function (CDF) for an exponential distribution: P(X < x) = 1 - e^(-x/mean). Substituting the values gives P(X < 6) = 1 - e^(-6/30) = 0.1813.

A Certain Assembly Line at Vexing Manufacturing Company Averages 30