Question 1150536
(i) z = (227-232)/5 = -1
P(W < 227) = .1587 (from z-score table)

(ii) To determine the probability that more than 23 jars out of 100 weigh less than 227 grams, I would use a binomial distribution.  More than 23 weighing less than 227 is the same as 76 or less weighing more than 227.
P(> 23 of 100 weigh less than 227) = P(< or = 76 weighing more than 227)
= binomcdf(100, .8413, 76)
= .0225

OR More than 23 weighing less than 227 is the complement of 23 or less weighing less than 227
P(> 23 of 100 weigh less than 227) = 1 - P(< or = 23 less than 227)
= 1 - .9774
= .0225