Question

The number of times an appliance can be activated before its motor burns out is modelled using an exponential distribution with a mean equal to 60 times. The probability distribution function is: $f(x) = \frac{e^{-\frac{x}{60}}}{60}$, $x \ge 0$. What is the probability that the appliance is activated 200 times without burning out? ? 60% ? 30% ? 12% ? 4% None of the above

          The number of times an appliance can be activated before its motor burns out is modelled using an exponential distribution with a mean equal to 60 times. The probability distribution function is:
$f(x) = \frac{e^{-\frac{x}{60}}}{60}$, $x \ge 0$.
What is the probability that the appliance is activated 200 times without burning out?
? 60%
? 30%
? 12%
? 4%
None of the above

The number of times an appliance can be activated before its motor burns out is modelled using an exponential distribution with a mean equal to 60 times. The probability distribution function is:
f(x) = (e^-(x)/(60))/(60), x ≥ 0.
What is the probability that the appliance is activated 200 times without burning out?
? 60%
? 30%
? 12%
? 4%
None of the above

Added by Amy H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Jason Gerber

06/11/2023

Step 1

Step 1: The probability that the appliance is activated 200 times without burning out is the probability that the appliance lasts at least 200 times. Show more…

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The number of times an appliance can be activated before its motor burns out is modelled using an exponential distribution with a mean equal to 60 times. The probability distribution function is: $$f(x) = \frac{e^{-\frac{x}{60}}}{60}, x \ge 0.$$ What is the probability that the appliance is activated 200 times without burning out? 60% 30% 12% 4% None of the above