The time between failures for an appliances is exponentially distributed with a mean of 25 months. What is the probability that the next failure will not occur before 32 months have elapsed? Report answer to 4 decimal places
Let X = amount of time (in months) between failures for an appliances . The time is known to have an exponential distribution with mean = 25 months.
X ~ Exp(1/25)
The probability density function of X is given by:
The probability that the next failure will not occur before 32 months have elapsed i.e. P(X>32)
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