The number of wiring packages that can be assembled by a com

The number of wiring packages that can be assembled by a company\'s employees has a normal distribution, with a mean equal to 15.3 per hour and a standard deviation of 1.5 per hour.

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

(b) What is the probability that a worker will produce at least 125 packages per 8-hour day? (Round your answer to four decimal places.)

Solution

a) mean =15.3*8 =22.4

standard deviation =1.5*8 =12

b) probability that a worker will produce atleast 125 packages per 8 hour day =P(X>=125) =1-P(X<125)=

1-(0.969)=0.03 [applyying normal distribution formula]