Formulate a decision model to determine whether there are any arbitrage opportunities with the spot currency rates given in table 1. note that an arbitrage opportunity could involve several currencies. if there is an arbitrage opportunity, your model should specify the exact set of transactions to achieve it. to us dollar pound ffranc dmark yen us dollar - 0.63900 5.37120 1.57120 98.8901 pound 1.56480 - 8.43040 2.45900 154.7733 from ffranc 0.18560 0.11860 - 0.29210 18.4122 dmark 0.63610 0.40630 3.42330 - 62.9400 yen 0.01011 0.00645 0.05431 0.01588 - table 1: cross-currency spot rates

Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. complete parts (a) through (c) below. a. if 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute. the probability is? b. if 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute. the probability is? c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?