3) Suppose that in the Bay of Fundy, the mean high tide at a particular harbor is 5.4 m above mean sea level with a coefficient of variation of 20% and assume that this is normally distributed. For simplicity, assume that there are two high tides per day and that a year is made up of twelve 30-day months. a) Determine the asymptotic distribution of the monthly maximum tide height at the harbor (ie, specify the form of the distribution and its parameters). b) Using the results of part (a), derive the corresponding distribution for the 50-year maximum tide height and determine the 50-year most probable maximum tide height.

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