HP Computer purchases computer chips from Chipco in batches of 50 chips. Past history indicates that 10% of the chips produced by Chipco are defective. Let X = the number of chips that arenotdefective in a batch.

(a) What is the distribution of X? Include parameter(s) and their values.

(b) How many working chips does HP expect to receive in a batch? What is the standard deviation of X?

(c) What is the probability that less than 44 chips are not defective?

(d) What is the probability that more than 38 are working?

(e) If HP receives 30 batches in a month, what is the distribution of the average number of working chips that HP receives per batch? What is the probability that HP receives less than 44 working chips on average?

Excel formulas if possible and how to.