1. A machine manufactures high quality pipes. Experience has shown that on average there are three faults per 100 metres of pipe. Calculate the probability that in 100 metres of pipe there will be (a)...

1. A machine manufactures high quality pipes. Experience has shown that on average
there are three faults per 100 metres of pipe. Calculate the probability that in 100
metres of pipe there will be (a) no faults (b) three faults.
2. A computer room contains 100 PCs. The probability that a PC breaks down in a week
is 0.005. Calculate the probability that in a week one machine breaks down. Use both
the binomial and the Poisson distributions to answer this question