A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain: (Express your answers correct to 4 decimal places)

a) No more than 2 rejects? [3 marks]

b)Exactly 3 rejects?[2 marks]

c) Find the mean [1 mark]

d) Find the standard deviation