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Question \"ID - The number of trades (in thousands) completed daily by an online stock brokerage follows a normal distribution with a mean of 1031 and a standard deviation of 29.1, On average, the brokerage receives $8.11 commission per trade. For samples of size n = 9 days: 'I. 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 2| lthousand dollars b) Standard deviation 2' lthousand 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 $826,409?| l % b) between $771,261 and $982,932?l l% 3. For the given sample size, what is the maximum average daily commissions receivable from the lowest 7.5% volume trading days? Round to the nearest thousand dollars. Question Help: G Read @ Video Check Answer- A particular fruit's weights are normally distributed, with a mean of 254 grams and a standard deviation of 8 grams. The heaviest 19% of fruits weigh more than how many grams? Give your answer to the nearest gram Question Help: El Video Check Answer Francesca and Jonah began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Francesca took a test in Social Studies and earned a 81.1, and Jonah took a test in Art History and earned a 69.4. Use the fact that all the students' test grades in the Social Studies class had a mean of 74.4 and a standard deviation of 12.1, and all the students' test grades in Art History had a mean of 64.8 and a standard deviation of 8.6 to answer the following questions. a) Calculate the zascore for Francesca's test grade. z:| b) Calculate the zscore for Jonah's test grade. z:| c) Which person did relatively better? (22- Francesca 262.1) : l 2. Find the probability that a sample of size n = 31 is randomly selected with a mean greater than 262.1. Pm: > 262.1) = 1 Question Help: En Read El Video Check