One method of arriving at economic forecasts is to use a consensus approach. Individual forecasts are obtained from a large number of analysts, and the average of these individual forecasts is the consensus forecast. Suppose the individual 2017January prime interest rate forecasts of economic analysts are approximately normally distributed with the mean equal to 4.25% and the standard deviation equal to 0.1%. If a single analyst is randomly selected from among this group, calculate thefollowing probabilities. (Round your answers to four decimal places.)USE SALT(a) What is the probability that the analyst's forecast of the prime rate will exceed 4.04%?

Answered: hod of arriving at economic forecasts…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3 A play is enjoying a long run at a theatre. It is found that the play time may be modelled as a normal variable with mean 130 minutes and standard deviation 3 minutes, and that the length of the intermission in the middle of the performance may be modelled by a normal variable with mean 15 minutes and standard deviaton 5 minutes. Find the probability that the performance is completed in less than 140 minutes.
. You make an investment. Assume that annual returns are normally distributed with a mean return of .05 per year and a standard deviation of .20. What is the probability of (a) a positive annual return? (b) What is the probability of an annual return greater than .12? (c) What is the probability of a return of –.06 or less? (d) Suppose there are 250 trading days in a year and the return on any day is independent of the return on any other day. What is the probability of a positive return on any given day?
Create different portfolios with weights (weightS&P, weightBond) where weightBond = 1 weightS&P. Let weightS&P equal 0%, 10%, 20%, 100%. Calculate the average return and the standard deviation for each of the eleven portfolios. Which of the following portfolio has the lowest risk (as measured by the standard deviation) ? The portfolio with 0% weight in the S&P500. The portfolio with 20% weight in the S&P500. The portfolio with 40% weight in the S&P500. The portfolio with 60% weight in the S&P500.
A professor knows that her statistics students' final exam scores have a mean of 79 and a standard deviation of 12.4. In his class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?
Asset A will generate a 20% return with probability 0.25; a 15% return with probability 0.50; and a -15% return with probability 0.25. The standard deviation of the return on Asset A is %. Write your answer as a percentage, rounded to 2 decimal places. Example: if the answer is 10.3478%, then write "10.35". Do not type the % sign in your answer.
You may need to use the appropriate appendix table to answer this question. Suppose that the average price for a gallon of gasoline in the Country A is $3.74 and in Country B it is $3.40. Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $0.25 in the Country A and a standard deviation of $0.20 in Country B. (a) What is the probability that a randomly selected gas station in Country A charges less than $3.50 per gallon? (Round your answer to four decimal places.) (b) What percentage of the gas stations in Country B charge less than $3.50 per gallon? (Round your answer to two decimal places.) (c) What is the probability that a randomly selected gas station in Country B charged more than the mean price in the Country A? (Round your answer to four decimal places.)
4qs
The average student loan debt for college graduates is $25,950. Suppose that that distribution is normal and that the standard deviation is $14,900. 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. a. What is the distribution of X? X - N( b Find the probability that the college graduate has between $29,350 and $41,850 in student loan debt. c. The middle 10% of college graduates' loan debt lies between what two numbers? Low: $ High: $
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Solve Q3 correctly and clear
r a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 510 and a standard deviation of 170 . The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 526 . What is the probability that a sample of 40 exams will have a mean score of 526 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

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