The number of failures of a testing instrument from contamination particles on the product is a poisson random variable with a mean of 0.025 failures per hour. (a) what is the probability that the instrument does not fail in an 8-hour shift

0.1353

Step-by-step explanation:

Given : The mean of failures =  0.025 per hour.

Then  for 8 hours , the mean of failures = per eight hours.

Let X be the number of failures.

The formula to calculate the Poisson distribution is given by :_

Now, the probability that the instrument does not fail in an 8-hour shift :-

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

0.85% : )

step-by-step explanation: