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The article "Rethink Diversification to Raise Returns, Cut Risk" (San Luis Obispo Tribune, January 21, 2006) included the following paragraph: In their research, Mulvey and Reilly compared the results of two hypothetical portfolios and used actual data from 1994 to 2004 to see what returns they would achieve. The first portfolio invested in Treasury bonds, domestic stocks, international stocks, and cash. Its 10-year average annual return was 9.85% and its volatility-measured as the standard deviation of annual returns-was 9.26%. When Mulvey and Reilly shifted some assets in the portfolio to include funds that invest in real estate, commodities, and options, the 10-year return rose to 10.55% while the standard deviation fell to 7.97%. In short, the more diversified portfolio had a slightly better return and much less risk. Explain why the standard deviation is a reasonable measure of volatility and why it is reasonable to interpret a smaller standard deviation as meaning less risk.
Assume that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4.
question let n denote an inhomogeneous poisson process with intensity function lambdat t expt for t ge 0.a. find pn2
Sales in hundreds of dollars over a five-day period and determine whether differences between the two groups are statistically significant.
a. Draw a probability tree for this situation. b. Find the probability of increasing both sales and customers.
Mean and standard deviation. Enter the following data into the Data tab in the One-Variable Statistical Calculator applet: 8, 9, 10, 11, 12. Examine the Statistics tab and report the mean and the standard deviation.
Use a single value to estimate the mean weight of all quarters.? Also, find the? 95% confidence interval for the average weight of all quarters.
pharmaceutical companies advertise for the birth control pill an annual efficacy of 99.1 in preventing pregnancy.
let x1 x2 x3nbspbe three independent random variables with binomial distributionsb4 12 b6 13 b12
If the gas mileages are normally distributed with a standard deviation of 2.1, find the probability that a car has a gas mileage of between 29.2 and 30.3 miles per gallon.
Enrollment for the last four semesters had been 120, 126, 110, and 130. Develop a forecast of enrollment next semester.
1. With regards to a standard normal distribution complete the following: (a) Find P(z
What is the 95% confidence interval for the standard deviation of birth weights at County General Hospital, if the standard deviation of the last 25 babies born there was 1.1 pounds.
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