Normal probability distribution Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return, r, 18.6%; and that the coefficient of variation, CV, is 0.82, answer the following questions: a. Find the standard deviation of returns, o,. b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%. a. The standard deviation of returns, o,, is 15.252 %. (Round to three decimal places.) b. (1) The lowest possible expected return associated with the 68% probability of occurrence is %. (Round to two decimal places.) The highest possible expected return associated with the 68% probability of occurrence is %. (Round to two decimal places.) (2) The lowest possible expected return associated with the 95% probability of occurrence is %. (Round to two decimal places.) The highest possible expected return associated with the 95% probability of occurrence is %. (Round to two decimal places.)

Empirical research on stock market data for two consecutive trading days indicates that 60% of the stocks that went up on the first day also went up on the second day. Yesterday, 600 stocks went up. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p gives the proportion of the 600 stocks that went up yesterday that will go up today. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.58), which is the probability that fewer than 58% of the stocks that went up yesterday will go up again today. Round your answer to four decimal places.

The average student loan debt for college graduates is $25,850. Suppose that that distribution is normal and that the standard deviation is $14,000. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. %3D a. What is the distribution of X? X N( b Find the probability that the college graduate has between $21,400 and $34,250 in student loan debt. c. The middle 10% of college graduates' loan debt lies between what two numbers? Low: $ High: $

The average THC content of marijuana sold on the street is 11%. Suppose the THC content is normally distributed with standard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. a. What is the distribution of X? X - N( 11 1 b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.3. Round to 4 decimal places. c. Find the 77th percentile for this distribution. Round to 2 decimal places. %

Q7

Assume that the probability of a being born with Genetic Condition B is p = 4/15. A study looks at a random sample of 133 volunteers. Find the most likely number of the 133 volunteers to have Genetic Condition B. (Round answer to one decimal place.) Let X represent the number of volunteers (out of 133) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O = Use the range rule of thumb to find the minimum usual value u-2o and the maximum usual value u+20. Enter answer as an interval using square-brackets only with whole numbers. usual values =

Assume that the probability of a being born with Genetic Condition B is �=17/30. A study looks at a random sample of 286 volunteers.Find the most likely number of the 286 volunteers to have Genetic Condition B.(Round answer to one decimal place.)μ = Let � represent the number of volunteers (out of 286) who have Genetic Condition B. Find the standard deviation for the probability distribution of �.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =

Suppose that the annual rate of return for a common biotechnology stock is normally distributed with a mean of 4% and a standard deviation of 4%. Find the probability that the one-year return of this stock will be positive. Round your answer to at least four decimal places. 0 X Ś