14) Referring to problem 14 in Chapter 2 (the salt usage problem leproduced below), use the methods of this chapter to calculate answers to the following questions. a. \\Vhat is the expected number of storms for which the initial inventmy of salt can be expected to last? b. What is the probability that the fth storm uses up the last of the initial inventory? Chapter 2 problem #14: A small town purchases salt by railroadcar loads to be used for melting ice and snow on the roads during the winter. One railnoad car holds twelve tons of salt. The amount of salt used in any one storm depends upon the severity and duration of the storm. Past experience shows that, of the storms which are serious enough to call for any salt, some will require only one pass of the salt tmcks, some will require two passes, and a few will require three passes. Each pass (a complete coverage of all of the streets of the town) consumes ve tons of salt. Also from past experience, it has been estimated that 50 percent of the storms are onepass storms, 40 percent are Mpass, and 10 percent are three pass. The initial supply of salt at the beginning of winter is ve railroad cars, or sixty tons. Construct a Markov chain model to show the consumption of salt over time, where time is measured discretely in the number of storms since the beg'nning of winter