For pipework, 40% of failures are due to operator errors.
a) What is the probability that at least 8 of the next 15 errors are due to operator errors?
b) What is the probability that no more than 3/10 failures are due to operators?
c) Suppose that 5 out of 15 are operator errors. Is it likely that the p=0.4 value truly applies to this plant?