The number of trades (in thousands) completed daily by an online stock brokerage follows a normal distribution with a mean of 104.1 and a standard deviation of 29. On average, the brokerage receives $7.12 commission per trade. For samples of size n = 10 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 = b) Standard deviation = thousand dollars 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 $747,600? % b) between $735,496 and $784,624? %

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