The number of imperfections in the weave of a certain textile has a Poisson distribution with a mean of four per square yard. (a) Find the probability that a l-square-yard sample will contain at least...

This is a Statistics problem. Please explain each step thoroughly and code in R, if needed.

Extracted text: The number of imperfections in the weave of a certain textile has a Poisson distribution with a mean of four per square yard. (a) Find the probability that a l-square-yard sample will contain at least one imperfection.


Extracted text: (b) Find the probability that a 3-square-yard sample will contain exactly imperfection. one