The number of wiring packages that can be assembled by a company's employees has a normal distribution, with a mean equal to19.6per hour and a standard deviation of1.2per hour.

(a) What are the mean and standard deviation of the numberxof packages produced per worker in an 8-hour day? (Round your standard deviation to three decimal places.)

mean_______packages

standard deviation_____packages

(b) What is the probability that a worker will produce at least159packages per 8-hour day? (Round your answer to four decimal places.)