Suppose that a lot of washers is large enough that it can be assumed that the sampling is done with replacement. Assume that 60% of the washers exceed the target thickness.

(a) What is the minimum number of washers that need to be selected so that the probability that none is thicker than the target is less than 0.10?

(b) What is the minimum number of washers that need to be selected so that the probability that 1 or more washers are thicker than the target is at least 0.90?