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)0.8187
B)0.0488
C)0.1813
D)0.2224

Question

Quizplus · Accepted Answer

The time between breakdowns follows 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) of the exponential distribution: P(X < 6) = 1 - e^(-6/30) = 0.1813.

A Certain Assembly Line at Vexing Manufacturing Company Averages 30