On average 20% of the bolts produced by a machine in a factory are faulty. Samples of ten bolts are to be selected at random cach day. Each bolt will be selected and replaced in the set of bolts which have been produced on that day. Calculate the mean and the standard deviation of these data. By comparing these answers with those expected. for a binomial distribution, estimate

(a) the number of dice thrown in each experiment,

(b) the value of p. (C Additional)