You are given the following for cohort of VA GLWB contracts aged 65: • Beginning of year contracts in force 1500 • Deaths during the year 10 %3D • Lapses during the year 50 • Number of contracts who took withdrawals = 550 %3D • Total amount of withdrawals taken for the year = 2 million %3D • Maximum annual withdrawal benefit allowed per contract = 5000 Calculate the frequency, severity, and utilization rate for this cohort.

assume we have a cycle-servixe level of 90%, and we deliver 4 items on a customers order, what is the overall customer service level for the order? (show work)

The amount of income spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of 20 homeowners in New England and then calculated these total housing costs as a percent of monthly income, 5 years ago and now. The information is reported below. Is it reasonable to conclude the percent is less now than 5 years ago?   Homeowner Five Years Ago   Now   Homeowner   Five Years Ago   Now 1   17 %     10 %     11       35 %     32 % 2   20       39       12       16       32   3   29       37       13       23       21   4   43       27       14       33       12   5   36       12       15       44       40   6   43       41       16       44       42   7   45       24       17       28       22   8   19       26       18       29       19   9   49       28       19       39       35   10   49…

How Do Communities Recover after Catastrophic Disturbance?

To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger th average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1,000s) 22 Itemized Deductions ($1,000s) 9.6 27 9.6 32 10.1 48 11.1 65 11.5 85 120 19.7 23.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 • 10 5 Itemized Deductions ($1,000s) 0 20 40 60 80 100 120 Adjusted Gross Income ($1,000s) 140 30 25 20 15 10 5. Itemized Deductions ($1,000s) 30 25 20 15 10 • 15 • 10 5- 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100…

The Majoring in Money study by Sallie Mae from December 2015 showed that most college students manage their credit cards in a reasonable way. It showed 23% of students who own credit cards make partial payments that exceed the minimum amount due. You are curious to find out if the proportion of students who make partial payments that exceed the minimum amount has decreased since 2015 and collect data from a random sample of 380 students. You find that 69 students are making partial payments on their credit cards that exceed the minimum amount due. Using a = 0.01, complete parts a and b below. UÀ A. Ho: p=0.23 H₁: p=0.23 OC. Ho: p=0.23 H₁ p0.23 D. Ho: p>0.23 H₁: p≤0.23

A new aircraft control system is being designed that must be 97.5​% reliable. This system consists of three components in series.   If all three of the components are to have the same level of​ reliability, then the level of reliability required for each component​ = ​% (enter your response as a percentage rounded to two decimal​ places).

Premium control has a three machine process; the reliability ratings for the machines in the process are 0.7, 0.8, and 0.9. Each machine in the process is backed up by a redundant machine which has a reliability of 0.9. The increase in system reliability due to the redundancy is -----%?

To design a benefit plan for your employees, you are estimating the number of people that will attain the age of retirement (65-years old). You are given the following cohorts: The employees of a group of 1,900 new employees (of age 22); a group of 950 workers of 35 years old; the people from a 45-year old labor force of size 110. The figure displays an excerpt of the appropriate life table for all three subgroups. Estimate the number of people that will attain the age of retirement with a confidence of 99%.

Returns earned over a given time period are called realized returns. Historical data on realized returns is often used to estimate future results. Analysts across companies use realized stock returns to estimate the risk of a stock. Consider the case of Celestial Crane Cosmetics Inc. (CCC): Five years of realized returns for CCC are given in the following table. Remember: 1. While CCC was started 40 years ago, its common stock has been publicly traded for the past 25 years. 2. The returns on its equity are calculated as arithmetic returns. 3. The historical returns for CCC for 2014 to 2018 are:     2014 2015 2016 2017 2018 Stock return 18.75% 12.75% 22.50% 31.50% 9.75%   Given the preceding data, the average realized return on CCC’s stock is    .   The preceding data series represents    of CCC’s historical returns. Based on this conclusion, the standard deviation of CCC’s historical returns is    .   If investors expect the…