It is assumed that the time failures for an electronic component are exponentially distributed with a mean of 50 hours between consecutive failures. What is the probability that a component will be functioning after 60 hours?
A) Approximately 0.30
B) About 0.70
C) About 0.21
D) About 0.49

Question

Quizplus · Accepted Answer

The probability that a component will be functioning after 60 hours, given that the time between failures is exponentially distributed with a mean of 50 hours, can be calculated using the formula P(T > t) = e^(-t/λ), where λ is the mean time between failures (50 hours) and t is the time of interest (60 hours). Plugging in the values, we get P(T > 60) = e^(-60/50) ≈ 0.30.

It Is Assumed That the Time Failures for an Electronic