A manufacturer sells a machine that has numerous moving parts. A quality control manager counts the number of moving parts that are misaligned as the number of nonconformities for a particular machine. It is believed that the number of nonconformities per machine follows a Poisson distribution, with an average of three nonconformities per machine.
a) Determine the probability that the quality control manager finds no more than one nonconformity on a particular machine at random.
b) What is the standard deviation of the number of nonconformities per machine?