Answer:
0.9898 = 98.98% probability that there will not be more than one failure during a particular week.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
3 failures every twenty weeks
This means that for 1 week,
Calculate the probability that there will not be more than one failure during a particular week.
Probability of at most one failure, so:
Then
Then
0.9898 = 98.98% probability that there will not be more than one failure during a particular week.