6 (8 marks in total). No production process is perfect, so let's suppose we operate a manufacturing facility where, on average, 1% of our products do not measure up to our standards, and that this is acceptable to our distributors. However, we want to watch out for the rate going above 1%, and therefore we hire SGS Canada to take samples of 10 products every hour in our production facility and test them. Let X be a random variable defined by the number of products out of the sample of 10 that fail the test. (a) (4 marks) What is the probability that more than one product fail the test? (b) (2 marks) What is the expected number of products that fail the test? (c) (2 marks) What is the standard deviation of the number of products that fail the test