A greeting card shop makes cards that are supposed to fit into 6-inch (in.) envelopes. The paper cutter, however, is not perfect. The length of a cut card is normally distributed with mean 5.9 in. and standard deviation 0.0365 in. If a card is longer than 5.975 in., it will not fit into a 6-in. envelope.
a. Find the probability that a card will not fit into a 6-in. envelope.
b. The cards are sold in boxes of 20. What is the probability that in one box there will be two or more cards that do not fit in 6-in.envelopes?