(Show your work, or explain which Excel formula you used for this problem.) A manufacturer of headphones knows that 10% of its products are defective. it ships its products in boxes of 12 items. (1) Explain why the number of defective items in a box will be a binomial random variable. (2] On average. how many items per box will be defective? (3] In a randomly chosen box, what is the probability that there will be no defective items? (4) In a randomly chosen box, what is the probability that there will be exactly 2 defective items? (5] In a randomly chosen box, what is the probability that there will be 3 or fewer defective items