A particular manufacturing process is known to produce 0.3 proportion defective items. Suppose that a sample of 10 items produced by this process are selected at random.
(a) The probability that the sample will contain exactly 1 defective item is.
(b) The probability that the sample will contain at most 2 defective items is.
(c) On average, the number of defective items in a sample of this size will be.