"Big Tom Callahan" manages the Callahan Auto Parts factory. In the history of the factory, 1 out of every 250 brake pads has been defective. An employee in the quality department

has a sample of 1,500 brake pads, andis looking to determine the probability that 10 or more pads out of 1,500 are defective.

a) Is 1,500 a large enough sample enough to use the normal approximation to the binomial distribution? Justify your answer. (1 mark) b) Calculate the mean and standard deviation for this approximation. (1 mark)

c) Calculate the probability that there are 10 or more defective pads in this sample. (3 marks)