The time between breakdowns of an alarm system is exponentially distributed with mean 10 days.What is the probability that there are no breakdowns on a given day?
A).9048
B).3679
C).0952
D)0.000

Question

Quizplus · Accepted Answer

The probability that there are no breakdowns on a given day is the probability that the time between breakdowns is greater than 1 day. The time between breakdowns is exponentially distributed with mean 10 days, so the probability that the time between breakdowns is greater than 1 day is:P(X > 1) = 1 - P(X <= 1) = 1 - (1 - e^(-1/10)) = e^(-1/10) = 0.9048

The Time Between Breakdowns of an Alarm System Is Exponentially