1. According to a study by PseudoScientific Consulting, the time interval between Atlantic hurricane of category 4 has a mean of 456 days and a standard deviation of 123 days. Suppose that you observe a sample of five (5) time intervals between successive category 4 hurricanes.

a. On average, what would you expect to be the mean of the five (5) time intervals?

b. How much variation would you expect from your answer in part (a)? (Hint: Think along the line of the Empirical 68-95-99.7 Rule.)

2. A business manager in our unit has decided that dress code is necessary for unit coherence. Unit staff are required to wear either blue shirts or red shirts. We have 9 men and 7 women in our unit. On a particular day, 5 men wore blue shirts and 4 other wore red shirts, whereas 4 women wore blue shirts and 3 others wore red shirt. Apply the Addition Rule to determine the probability of finding men or blue shirts in our unit.