Answer:
And we can find the individual probabilities like this:
And replacing we got:
Step-by-step explanation:
Definitions and concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
And the parameter represent the average ocurrence rate per unit of time.
Solution to the problem
For this case the batch would be rejected if we found more than 3 defects, so then the probability of accept the batch would be given by:
And we can find the individual probabilities like this:
And replacing we got:
