A manufacturing firm produces a product that has a ceramic coating. The coating is baked on to the? product, and the baking process is known to produce 20% defective items. Every? hour, 25 products from the thousands that are baked hourly are sampled from the? ceramic-coating process and inspected. Complete parts a through c.

a. What is the probability that 5 defective items will be found in the next sample of 25? (round to four decimals)

b. On? average, how many defective items would be expected to occur in each sample of 25? (use integer or decimal)

c. How likely is it that 20 or more non-defective (good) items would occur in a sample due to chance alone? (round to four decimals)