Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260579611
Author: Douglas Lind; William Marchal; Samuel Wathen
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 7, Problem 4P
a.
To determine
Find the expected amount insurance Company D will have to pay to ExxonMobil in claims.
b.
To determine
Find the likelihood that insurance Company D will actually lose less than the expected amount.
c.
To determine
Find the likelihood that insurance Company D will actually lose $300 million.
d.
To determine
Identify that annual premium at $2.0 million is fair premium or not.
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Students have asked these similar questions
3. What would be the yearly premium for a
$50,000 insurance policy against accidental
household
flood if the likelihood of an accidental household
flood is estimated to be 0.005 and the
company wishes to have a yearly expected gain of
$2000?
a. $2, 250.
b. $2,550.
c. $2,500.
d. $2,520.
4. A manufacturer of electronic equipment buys
spare parts for replacement and repairs in lots of
one-thousand from the supplier. The
manufacturer uses these spare parts to fix items
under
warrantee. Past historical records show that the
probability of any one spare part being
defective is unlikely and assumed to be one in
one-thousand. In a shipment of one-thousand
spare parts the probability of two defectives is
a. 0.148.
b. 0.184.
c. 0.366.
d. 0.386.
5. What is the probability of getting exactly three
heads in five flips of a balance coin?
a. 5/16
b. 3/16
c. 7/16
d. 9/16
There is a
0.9986
probability that a randomly selected
27-year-old
male lives through the year. A life insurance company charges
$157
for insuring that the male will live through the year. If the male does not survive the year, the policy pays out
$80,000
as a death benefit. Complete parts (a) through (c) below.
a. From the perspective of the
27-year-old
male, what are the monetary values corresponding to the two events of surviving the year and not surviving?
The value corresponding to surviving the year is
$nothing.
The value corresponding to not surviving the year is
$nothing.
(Type integers or decimals. Do not round.)
b. If the
27-year-old
male purchases the policy, what is his expected value?
The expected value is
$nothing.
(Round to the nearest cent as needed.)
c. Can the insurance company expect to make a profit from many such policies? Why?
because the insurance company expects to make an average profit of
$nothing
on every
27-year-old
male it…
Suppose that a life insurance company insures 1 million 50-year-old people in a given year. (Assume a death rate of 5 per 1000 people.) The cost of the premium is $200 per year, and the death benefit is $50,000 What is the expected profit or loss for the insurance company?
Chapter 7 Solutions
Statistical Techniques in Business and Economics
Ch. 7 - Microwave ovens only last so long. The life-time...Ch. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3ECh. 7 - Prob. 4ECh. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Prob. 2SRCh. 7 - The distribution of the annual incomes of a group...Ch. 7 - Explain what is meant by this statement: There is...
Ch. 7 - List the major characteristics of a normal...Ch. 7 - The mean of a normal probability distribution is...Ch. 7 - The mean of a normal probability distribution is...Ch. 7 - Prob. 11ECh. 7 - Prob. 12ECh. 7 - The temperature of coffee sold at the Coffee Bean...Ch. 7 - A normal population has a mean of 20.0 and a...Ch. 7 - A normal population has a mean of 12.2 and a...Ch. 7 - Prob. 15ECh. 7 - The mean of a normal probability distribution is...Ch. 7 - Prob. 5SRCh. 7 - Prob. 17ECh. 7 - A normal population has a mean of 80.0 and a...Ch. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - WNAE, an all-news AM station, finds that the...Ch. 7 - Prob. 22ECh. 7 - Prob. 6SRCh. 7 - A normal distribution has a mean of 50 and a...Ch. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Prob. 28ECh. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 7SRCh. 7 - Prob. 31ECh. 7 - The lifetime of LCD TV sets follows an exponential...Ch. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35CECh. 7 - Prob. 36CECh. 7 - Prob. 37CECh. 7 - Prob. 38CECh. 7 - Prob. 39CECh. 7 - Prob. 40CECh. 7 - Prob. 41CECh. 7 - Prob. 42CECh. 7 - Prob. 43CECh. 7 - Prob. 44CECh. 7 - Shaver Manufacturing Inc. offers dental insurance...Ch. 7 - The annual commissions earned by sales...Ch. 7 - Prob. 47CECh. 7 - Prob. 48CECh. 7 - Management at Gordon Electronics is considering...Ch. 7 - Fast Service Truck Lines uses the Ford Super Duty...Ch. 7 - Prob. 51CECh. 7 - Prob. 52CECh. 7 - The weights of canned hams processed at Henline...Ch. 7 - The price of shares of Bank of Florida at the end...Ch. 7 - Prob. 55CECh. 7 - Prob. 56CECh. 7 - Prob. 57CECh. 7 - Prob. 58CECh. 7 - Prob. 59CECh. 7 - Prob. 61DACh. 7 - Prob. 62DACh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 1CCh. 7 - Prob. 2CCh. 7 - Prob. 3CCh. 7 - Prob. 4CCh. 7 - Prob. 5CCh. 7 - Prob. 1.1PTCh. 7 - Prob. 1.2PTCh. 7 - Prob. 1.3PTCh. 7 - Prob. 1.4PTCh. 7 - Prob. 1.5PTCh. 7 - Prob. 1.6PTCh. 7 - Which of the following is NOT a requirement of the...Ch. 7 - Prob. 1.8PTCh. 7 - How many standard normal distributions are there?...Ch. 7 - Prob. 1.10PTCh. 7 - Prob. 1.11PTCh. 7 - Prob. 1.12PTCh. 7 - Prob. 1.13PTCh. 7 - Prob. 1.14PTCh. 7 - Prob. 1.15PTCh. 7 - Prob. 2.1PTCh. 7 - Prob. 2.2PTCh. 7 - Prob. 2.3PTCh. 7 - Prob. 2.4PTCh. 7 - Prob. 2.5PTCh. 7 - Prob. 2.6PTCh. 7 - Prob. 2.7PT
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- What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?arrow_forwardThere is a 0.9986 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $175 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 31-year-old male, what are the monetary values corresponding to the two events of surviving.the year and not surviving? The value corresponding to surviving the year is $ - 175 The value corresponding to not surviving the year is $ 99,825 (Type integers or decimals. Do not round.) b. If the 31-year-old male purchases the policy, what is his expected value? The expected value is $. (Round to the nearest cent as needed.)arrow_forwardA proposed project has the following cash flow estimates. Assuming independent cash flows, a normally distributed net present value, and a minimum attractive rate of return of 18%, determine the following. For the following questions, employ an analytical solution: a. The mean and standard deviation of net present value. b. The probability that the net present value is positive. c. The probability that the net present value is greater than $5,000. Assume the initial investment and annual receipts are normally distributed. d. Using a Monte Carlo simulation with 10,000 iterations, estimate the probability that the present worth is positive and estimate the probability that the present worth is greater than $5,000.arrow_forward
- 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…arrow_forwardThere is a 0.9985 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $189 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 31-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ The value corresponding to not surviving the year is $ (Type integers or decimals. Do not round.) b. If the 31-year-old male purchases the policy, what is his expected value? The expected value is $ (Round to the nearest cent as needed.) c. Can the insurance company expect to make a profit from many such policies? Why? because the insurance company expects to make an average profit of $ on every 31-year-old male it insures for 1 year. (Round to the nearest cent as needed.)arrow_forwardSuppose a mutual fund has a portfolio of stocks that have a market value of $10.75 billion and the company has 900 million shares of stock. What is the net asset value (in dollars) of a share of the mutual fund?arrow_forward
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