ccording to the Current Results website, the state of California has a mean annual rainfall of 21 inches, whereas the state of New Vork has a mean annual rainfall of 47 inches. Assume that the standard deviation for both states rainfall for California and a sample of 45 years of rainfall for New York has been taken. Use z-table. Show the probability distribution of the sample mean annual rainfall for California. nis is a normal probability distribution with E(2) = and oy = (to 4 decimals). - What is the probability that the sample mean is within 1 inch of the population mean for California? (to 4 decimals) - What is the probability that the sample mean is within 1 inch of the population mean for New York? (to 4 decimals) .In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why? v because the sample size is - Select your answer - V he probability of being within 1 inch is greater- Select your answer -

Over the past four days, the realized values of the random variable A are: 8, -2, 2 and 11. In the same order, the realized values of the random variable B are: 6, 2, 2 and -10. Compute the correlation between A and B.

Consider a population proportion p = 0.20. a. What are the expected value and the standard error for the sampling distribution of the sample proportion with n = 20 and n = 58? Note: Round the standard error to 4 decimal places. Answer is complete and correct. n Expected value Standard error 20 58 0.20 0.20 0.0894 0.0525 b. Can you conclude that the sampling distribution of the sample proportion is approximately normally distributed for both sample sizes? Yes, the sampling distribution of the sample proportion is normally distributed for both sample sizes. No, the sampling distribution of the sample proportion is not normally distributed for either sample size. No, only the sample proportion with n = 20 will have a normal distribution. No, only the sample proportion with n = 58 will have a normal distribution. c. If the sampling distribution of the sample proportion is normally distributed with n = 20, then calculate the probability that the sample proportion is between 0.18 and 0.20.…

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n= 124, p = 0.56

4. Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. Year 1 2 3 4 5 X 12% 28% 9% -7% 10% Return Y 25% 34% 13% -27% 14%

Expected Return, Variance, Std. Deviation and Cofficient of Variation:Magee Inc.'s manager believes that economic conditions during the next year will be strong, normal, or weak, and she thinks that the firm's returns will have the probability distribution shown below. What's the standard deviation of the estimated returns?Round your answer to two decimal places. For example, if your answer is $345.6671 round as 345.67 and if your answer is .05718 or 5.7182% round as 5.72.   State of the Economy Probability of State Occurring Stock's Expected Return Boom 20% 24.15% Normal 50% 13.50% Recession 30% –13.30%       Group of answer choices 15.68% 16.39% 14.26% 13.54% 10.69%

Using the following annual returns, calculate the estimates of the arithmetic mean returns, the variances, and the standard deviations for assets X and Y. Also calculate the estimates of the covariance and correlation between X and Y. These five years are a sample of the entire population of returns for X and Y. Year 2001 2002 2003 2004 2005 Returns X 11% 6% -8% 28% 13% Y 36% -7% 2% -12% 43% A stock has had returns over the past six years of 29%, 14%, 23%, -18%, 9%, and -14%. What was its arithmetic mean and geometric mean returns over that period? What was the standard deviation of its returns over this six-year period?