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Answer:
The probability that the instrument does not fail in an 8-hour shift is
The probability of at least 1 failure in a 24-hour day is
Step-by-step explanation:
The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:
Let X be the number of failures of a testing instrument.
We know that the mean failures per hour.
(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:
For an 8-hour shift, the mean is
(b) To find the probability of at least 1 failure in a 24-hour day, you need to:
For a 24-hour day, the mean is