The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 5%. The bank will make 1900 loans that are under 510,000 next month. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of defaults on the 1900 loans under $10,000 to be made next month. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.06), which is the probability that 6% or fewer of next month's loans under $10,000 will be defaulted on. Round your answer to four decimal places.

The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 5%. The bank will make 1900 loans that are under 510,000 next month. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of defaults on the 1900 loans under $10,000 to be made next month. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.06), which is the probability that 6% or fewer of next month's loans under $10,000 will be defaulted on. Round your answer to four decimal places.

Name: The Credit Risk Department of a major bank estimates the default rate
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 5%. The bank will make 1900 loans that are under$10,000 next month.Answer the following. (If necessary, consult a list of formulas.)(a) Find the mean

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Solve for the mean and standard deviation of the following Binomial distributions. a. n = 20 and p = 0.70 b. n = 70 and p = 0.35 c. n = 100 and p = 0.50
A population has a standard deviation ? of 25 units. (Give your answers correct to two decimal places.) (a) Find the standard error for the mean if n = 30.(b) Find the standard error for the mean if n = 46.(c) Find the standard error for the mean if n = 71.
A queueing system has an arrival rate of 37 visitors per day (standard deviation of 32) and a service rate of 42 visitors per day (standard deviation of 25). (Round your answer to three decimal places.) What is the coefficient of variation of the arrival rate?
The figure in the popup window, shows the one-year return distribution for RCS stock. Calculate: a. The expected return. b. The standard deviation of the return. Note: Make sure to round all intermediate calculations to at least five 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.
A Scenario: Jimmy store sells large tins of Tom Tucker Coffee. The deli uses a periodic review system. Inventory is checked every 10 days which more orders are needed for tins. Order lead time is 3 days. Average demand is 7 tins, so average demand during the reorder period and order lead time (13) is 91 tins. Standard deviation of demand during the same 13 day period is 17 tins.1. Calculate the restocking level ( Assume the desired level is 90%)2. Suppose standard deviation of demand during the 13-day period drops to 4 tins. What happened to restocking level? Explain why?3. Draw a saw-tooth diagram. Beginning inventory level is equal to restocking level and the demand rate is a constant 7 tins per day. What is the safety stock level? What is the average inventory level?
Andrew plans to retire in 40 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal. What is the probability (assuming that past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 10%? What is the probability that the mean return will be less than 5%?
Andrew plans to retire in 30 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal. (a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 30 years will exceed 11%? (b) What is the probability that the mean return will be less than 4%?
I need help with this questions with explanation.
Directions: Compute the total returns, the average of returns, and the standard deviation of the following stocks: 1) 2) EGRH Inc. DMP, Ltd. STOCK RETURN YEA AVERAGE OF RETURNS (x) YEAR STOCK RETURN PRICE AVERAGE OF RETURNS (x) PRICE (x₁) Jan-2021 P8.30 Feb-2021 P8.60 Jan-2021 PO. Feb-2021 PO.090 Mar-2021 P0.097 Apr-2021 PO.189 May-2021 PO.164 Mar-2021 P9.14 Apr-2021 P13.30 May-2021 P13.74 Jun-2021 P14.80 Jul-2021 P16.94 Jun-2021 P0.495 Jul-2021 PO.28 Aug-2021 PO Sep-2021 90 Aug-2021 P13.70 Sep-2021 P14.88 Oct-2021 0.375 Oct-2021 P15.30 Nov-20 PO.325 Nov-2021 P14.30 Dec-2 PO.330 Dec-2021 P15.52 3) SD (8) GSM Inc. STOCK YEAR PRICE Jan-2021 P57.70 Feb-2021 P52.90 Mar-2021 P50.95 Apr-2021 P58.25 May-2021 P74.05 Jun-2021 P94.75 Jul-2021 P85.00 Aug-2021 P105.00 Sep-2021 P114.00 Oct-2021 | P101.00 Nov-2021 P100.40 Dec-2021 P113.80 SD (8) = RETURN (x₁) -x)² AVERAGE OF RETURNS (x-x)² (x) SD (8) = ACEE, Inc. YEAR STOCK RETURN PRICE (x₁) Jan-2021 P13.56 Feb-2021 P20.80 Mar-2021 P22.50 Apr-2021…
C. Atlantic Video is planning to add the new Marvel movie to their collection, and they predict that this will double their demand (i.e. new arrival rate is 60 customers every hour) and halve the standard deviation of the inter-arrival times. However, they want to keep the average waiting time of customers in line the same as before. Assume that the coefficient of variation for the check-out times does not change. Please answer the following questions. 1) Does the employee need to work twice as fast? If not, calculate the new service rate. 2) What is the average number of customers in the store?