The daily exchange rates for the two-year period 2011 to 2013 between the Japanese Yen (JPY) and the Australian Dollar (AUD) can be modelled by a Normal distribution with mean, = 81 Yenand a standard deviation ,= 22 Yen.

Draw diagrams to help you solve the following problems.

1. What is the probability that on a randomly selected day during this period, the dollar was worth less than69 Yen?(4 dp)Answer
2. What proportion of the days during this period will the dollar be worth between69 and 98 Yen?(4 dp)Answer
3. If you select a window of 250 days during this period, how many days would you expect the dollar to worth between69 and 98 Yen?(round to nearest integer)Answer