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The data file CEOCompensation Data contains data on the total annual compensation of CEOs of S&P1500 companies, as reported in SEC filings. The compensation is

The data file CEOCompensation Data contains data on the total annual compensation of CEOs of S&P1500 companies, as reported in SEC filings. The compensation is recorded in million of US dollars, rounded to the nearest million. 1. Is the average CEO compensation smaller than, equal to, or larger than the median CEO compensation? The average CEO compensation is smaller than the median CEO compensation The average CEO compensation is equal to the median CEO compensation The average CEO compensation is larger than the median CEO compensation Now consider a S&P 1500 CEO who is about to be invited to speak at a business school graduation next year. This CEO's annual compensation is a random variable: it is a numerical value which is uncertain because the identity of that CEO is not known. Formally, we denote X = Annual compensation of the graduation speaker CEO (in USD million). Note that random variable X can take on any integer value between 0 and 246, with probabilities for each possible value of X computed for your convenience. 2. Calculate the expected value of the random variable X (in USD million). 3. Calculate the standard deviation of the random variable X (in USD million). 4. What is P (X > 5)?

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