1. The Wall Street Journal reports that the mean trading volume for equity and index options contracts was 3.6 million in May 2018. Assume that the distribution is normal with mean m=3.6 (in millions) and standard deviation s=0.5 (in millions). Find the probability that a randomly selected trading volume exceeds 4.1 million. 2. The Wall Street Journal reports that the mean trading volume for equity and index options contracts was 3.6 million in May 2018. Assume that the distribution is normal with mean m=3.6 (in millions) and standard deviation s=0.5 (in millions). Find the trading volume greater than 90% of all trading volumes. 3. For the week ending June 8, 2018, Nielson Media Research reported that 12 million viewers watched the television show Frontiers. Suppose that the distribution of viewers of Frontiers is normal with mean m = 12 million and standard deviation s = 4 million. Find the probability that fewer than 10 million people will watch Frontiers. 4. For the week ending June 8, 2018, Nielson Media Research reported that 12 million viewers watched the television show Frontiers. Suppose that the distribution of viewers of Frontiers is normal with mean = 12 million and standard deviation = 4 million. What percentage of broadcasts are watched by more than 18 million viewers? 5.For the week ending June 8, 2018, Nielson Media Research reported that 12 million viewers watched the television show Frontiers. Suppose that the distribution of viewers of Frontiers is normal with mean = 12 million and standard deviation = 4 million. What proportion of broadcasts are watched by between 10 million and 11 million viewers? 6. For the week ending June 8, 2018, Nielson Media Research reported that 12 million viewers watched the television show Frontiers. Suppose that the distribution of viewers of Frontiers is normal with mean = 12 million and standard deviation = 4 million. Find the number of viewers that represents the 75th percentile. 7.For the week ending June 8, 2018, Nielson Media Research reported that 12 million viewers watched the television show Frontiers. Suppose that the distribution of viewers of Frontiers is normal with mean = 12 million and standard deviation = 4 million. What is the probability that on one randomly selected night, 24 (or more) million people watched Frontiers? 8. In May 2018, the mean number of shares traded on the New York Stock Exchange was 2.4 billion per day. Assume that the distribution of shares traded is normal with a population mean of 2.4 and a population standard deviation of 0.6 (both in billions of shares). Find the probability that the number of shares traded on a randomly selected day falls below 0.6 billion. 9.In May 2018, the mean number of shares traded on the New York Stock Exchange was 2.4 billion per day. Assume that the distribution of shares traded is normal with a population mean of 2.4 and a population standard deviation of 0.6 (both in billions of shares). What percentage of days finds a volume of shares traded of more than 2.5 billion shares? 10. In May 2018, the mean number of shares traded on the New York Stock Exchange was 2.4 billion per day. Assume that the distribution of shares traded is normal with a population mean of 2.4 and a population standard deviation of 0.6 (both in billions of shares). What proportion of days finds the volume of shares traded between 1 billion and 2 billion? 11. In May 2018, the mean number of shares traded on the New York Stock Exchange was 2.4 billion per day. Assume that the distribution of shares traded is normal with a population mean of 2.4 and a population standard deviation of 0.6 (both in billions of shares). A slow trading day has fewer shares traded than 99% of all other days. Find the number of shares traded that represent this amount. 12. In May 2018, the mean number of shares traded on the New York Stock Exchange was 2.4 billion per day. Assume that the distribution of shares traded is normal with a population mean of 2.4 and a population standard deviation of 0.6 (both in billions of shares). What is the probability that 3 billion shares were traded on a randomly selected trading day in May 2018?
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