Storm damage can occur to homes in any given year, with the amount of damage varying randomly from year to year. Let X represent the dollar value of storm damage in a given year. It is known that in 95% of the years, X = $0, while in 5% of the years, X = $20,000. What is the expected value and standard deviation of the damage in any given year?

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean u = 86 and standard deviation o = 26. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) A USE SALT (a) x is more than 60 0.8315 (b) x is less than 110 (c) x is between 60 and 110 (d) x is greater than 125 (borderline diabetes starts at 125)

A population has a mean of μ = 100, a variance of σ2 = 9, and a standard deviation of σ = 3.  The researcher multiplies every single score in the population by 8.  After this change to the scores, what will the new mean, variance, and standard deviation be?

A 1995 study shows that since records were first kept in a meteorologist's hometown, the average temperature during the month of May was u=68 degrees. The meteorologist then looks up the average temperatures for each of the 25 Mays since then, and finds their sample mean to be x= 73 and their standard deviation to be s= 8.55 degrees. Can the meteorologist claim that the average temperatures for May is different from how it used to be? Use a 1% level of significance. What is the null hypothesis and the alternate hypothesis? Is the test is left tailed, right tailed, or two tailed? What is the P value? What is the comparison between the P-value and the a-value given? Do we reject or accept the null hypothesis?

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 83 and standard deviation ? = 21. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125)

Let the random variable X represent the time between the moment the IRS receives your tax return forms and the moment you receive your tax refund. It is known that X follows a uniform distribution over the range of 4 weeks and 11 weeks. Find the value of the standard deviation of X. (Round your answer to 3 decimal places).

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 82 and standard deviation ? = 22. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125)

Pax World Balanced is a highly respected, socially responsible mutual fund of stocks and bonds. Vanguard Balanced Index is another highly regarded fund that represents the entire U.S. stock and bond market (an index fund). The mean and standard deviation of annualized percent returns are shown below. The annualized mean and standard deviation are for a recent 10-years period.†.   If x represents return and s represents risk, then explain why the coefficient of variation can be taken to represent risk per unit of return. From this point of view, which fund appears to be better? Explain. A. Since the CV is s/s2 we can say that the CV represents the risk per unit of return; the Pax fund appears to be better because the CV is smaller. B. Since the CV is s/s2 we can say that the CV represents the risk per unit of return; the Vanguard fund appears to be better because the CV is smaller.     C. Since the CV is s/x we can say that the CV represents the risk per unit of return; the Pax fund…

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 81 and standard deviation ? = 26. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)   (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125)

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 86 and standard deviation o = 23. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) USE SALT (a) x is more than 60 1292 (b) x is less than 110 0.9236 X (c) x is between 60 and 110 0.7526 (d) x is greater than 125 (borderline diabetes starts at 125) 6.3