The average student loan debt for college graduates is $25,000. Suppose that that distribution is normal andthat the standard deviation is $11,100. 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.%3Da. What is the distribution of X? X - N(b Find the probability that the college graduate has between $20,400 and $34,500 in student loan debt.c. The middle 20% of college graduates' loan debt lies between what two numbers?Low: $High: $

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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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Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.
The average amount of money spent for lunch per person in the college cafeteria is $5.97 and the standard deviation is $2.3. Suppose that 49 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of T? ¤ - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.57 and $6. d. For the group of 49 patrons, find the probability that the average lunch cost is between $5.57 and $6. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
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Consider an investment whose return is normally distributed with mean of 8% and a standard deviation of 5%. A. Determine the probability of losing money. B.Find the probability of losing money when the standard deviation is equal to 10%.
Private nonprofit four-year colleges charge, on average, $27,363 per year in tuition and fees. The standard deviation is $6,865. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 25,876 per year. ________ - 0.4129 is wrongc. Find the 68th percentile for this distribution. $ _______ (Round to the nearest dollar.) - 30573.752 is wrong
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