Using the exponential distribution, it is found that there is a 0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.
<h3>Exponential distribution</h3>The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
In this problem, the mean and the decay parameter are, respectively, given by:
.
The probability that a randomly selected part will <u>fail in less than 20 hours</u> is given by:
0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.
More can be learned about the exponential distribution at brainly.com/question/18596455