A greeting card shop makes cards that are supposed to fit into 6 inch envelopes. The paper cutter, however, is not perfect. The length of the cut card is normally distributed with mean 5.9 inches and standard deviation 0.0365 inches. If a card is longer than 5.975 inches, it will no longer fit into the envelope.
a.) Find the probability that it will not fit into the 6 inch envelope.
b.) The cards are sold in boxes of 20. What is the probability that two or more cards in the box do not fit into the 6 inch envelope?