Question

The probability that a new machine will not need any repairs within t years from now is modeled by an exponential function of t. This probability is multiplied by 0.2 whenever the time period t is extended by 3 years as shown by the function belowf(t) = (0.2)^t/3 If the probability that the machine does not need repairs right now is 1, what is the probability that the machine will not need repairs within 12 years from now, according to the model? 0.8 0.05 0.008 0.0016

Answer 1

viven

t = time

function

`f(t)=0.2^(t/3)`

what is the probability that the machine will not need repairs within 12

rocedure

`\begin{gathered} f(12)=0.2^(12/3) \\ f(12)=0.0016 \end{gathered}`

The probability would be 0.0016