The number of trades (in thousands) completed daily by an online stock brokerage follows a normal distribution with a mean of 101.2 and a standard deviation of 26.8. On average, the brokerage receives $7.73 commission per trade. For samples of size n = 18 days: 1. Determine the mean and standard deviation of the sampling distribution of the sample mean daily commissions received (in thousand dollars) accurate to 3 decimal places: a) Mean = 101.2 x thousand dollars b) Standard deviation = 6.317 x thousand dollars 2. Determine the following probabilities (as percentages) accurate to one (1) decimal place. What is the probability that the mean daily commissions received is a) less than $741,307? 4.2 X % b) between $736,669 and $871,944? 2.5 % 3. For the given sample size, what is the minimum average daily commissions receivable from the highest 11.5% volume trading days? Round to the nearest thousand dollars. 1030.873