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A report claims that the returns for the investment portfolios with a single stock have a standard deviation of 0.58 , while the returns for portfolios with 33 stocks have a standard deviation of 0.321. Explain how the standard deviation measures the risk in these two types of portfolios. Choose the correct answer below. A. A lower standard deviation means more certainty in the return and less risk. Hence, the returns for portfolios with 33 stocks have less risk than the ones with a single stock. B. Compare the ratio of the standard deviation to the number of stocks for each type of portfolio. If the ratio is smaller, than the risk is higher. Hence, the returns for portfolios with 33 stocks have more risk than the ones with a single stock. C. Compare the ratio of the standard deviation to the number of stocks for each type of portfolio. If the ratio is smaller, than the risk is higher. Hence, the returns for portfolios with 33 stocks have less risk than the ones with a single stock. D. A lower standard deviation means less certainty in the return and more risk. Hence, the returns for portfolios with 33 stocks have more risk than the ones with a single stock. E. They both have the same risk because the difference in the standard deviation is too small. Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Rolling two 2 s followed by one 5 on three tosses of a fair die. Choose the correct answer below. (Type an integer or a simplified fraction.) The individual events are independent. The probability of the combined event is A.

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B. The individual events are dependent. The probability of the combined event is Use the "at least once" rule to find the probability of the following event. Getting rain at least once in 8 days if the probability of rain on each single day is 0.2 The probability is

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(Round to three decimal places as needed.) The initial population of a town is 13,000 , and it grows with a doubling time of 10 years. What will the population be in 12 years? In 24 years? What will the population be in 12 years? (Round to the nearest whole number as needed.) What will the population be in 24 years? (Round to the nearest whole number as needed.)