On average,a certain kind of kitchen appliance requires repairs once every four years.Assume that the times between repairs are exponentially distributed.Which of the following Excel commands computes the probability that the appliance will work at least six years without requiring repairs?
A) 0.7769
B) 0.3456
C) 0.6544
D) 0.2231

Question

Quizplus · Accepted Answer

The exponential distribution is used to model the time between events. The probability that the appliance will work at least six years without requiring repairs is given by the survival function: P(X > 6) = exp(-6/4) = exp(-1.5) ≈ 0.2231.

On Average,a Certain Kind of Kitchen Appliance Requires Repairs Once