The number of trades (in thousands) completed daily by an online stock brokerage follows a normal distribution with a mean of 94.7 and a standard deviation of 24.7. On average, the brokerage receives $6.87 commission per trade. For samples of size n = 9 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 = thousand dollars b) Standard deviation = 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) more than $585, 324? % b) between $582,576 and $673,260? % 3. For the given sample size, what is the minimum average daily commissions receivable from the highest 7.5% volume trading days? Round to the nearest thousand dollars