Imperfections in computer circuit boards and computer chips lend themselves to statistical treatment. For a particular type of board the probability of a diode failure is 0.03. Suppose a circuit board contains 200 diodes.
(a) What is the mean number of failures among the diodes?
(b) What is the variance?
(c) The board will work if there are no defective diodes. What is the probability that a board will work?