Ask Question, Ask an Expert

+61-413 786 465

info@mywordsolution.com

Ask Statistics and Probability Expert

Statistics


Home >> Statistics and Probability

Question: A car manufacturer is considering how many safety devices to install on a new car. The devices function independently and each one works with probability .9. Furthermore, they are connected "in parallel" so that if any one of the devices installed works the car will be safe. How-ever, if they all fail the car will explode just as it is driven off the dealer's lot! The ensuing lawsuit (initiated by the estate for the unfortunate customer) will cost the manufacturer $1,000,000 every time this occurs. On the other hand, each safety device costs $100 to install. The car itself (without safety devices) costs $5,000 to build. Assume that the manufacturer will sell N (a given) cars at $10,000 each no matter how many safety devices are installed and that the firm wants to maximize the expectation of its profits.

a. How many safety devices will be installed in each car?

b. Given the answer to part (a), what will be the expectation and variance of their profits?

c. If N = 20, what is the probability that the firm will have at least one fatality arising from their choice of the number of safety devices installed?

d. The existence of the deliberations is leaked to Hard Copy and their next show claims "Auto Firm Puts Value on Human Life." Did the firm put a value on human life, and, if so, is this in and of itself worthy of condemnation?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M92571582

Have any Question?


Related Questions in Statistics and Probability

Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a premium? Would we ever expect a zero coupon bond to sell at a premium? Explain.

Xyz corporations budgeted monthly sales are 10000 and they

XYZ Corporation's budgeted monthly sales are $10,000, and they are constant. Its customers pay as follows: 30% pay in the first month and take the 2% discount, while the remaining 70% pay in the month following the sale ...

From a random sample of 58 businesses it is found that the

From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 20.53 with a standard deviation of 3.23. What is the 95% confidence interval for the amount of ...

Suppose a firm uses sales teams to market their products

Suppose a firm uses sales teams to market their products. For example, a construction equipment manufacturer may assign three sales agents to a team so each team member can specialize in particular product functions (e.g ...

In a survey of 3439 adults 1418 say they have started

In a survey of 3439 adults, 1418 say they have started paying bills online in the last year. Construct a? 99% confidence interval for the population proportion. Interpret the results.

An all-equiry business has 175m shares outstanding selling

An all-equiry business has 175M shares outstanding selling for $20/share. Management believes interest rates are unreasonably low and decides to execute a leveraged recapitalization. It will raise $1B in debt and repurch ...

A stocks price fluctuations are approximately normally

A stock's price fluctuations are approximately normally distributed with a mean of $26.94 and a standard deviation of $3.54. You decide to sell whenever the price reaches its highest 10% of values. What is the highest va ...

What is the minimum cash flow that could be received at the

What is the minimum cash flow that could be received at the end of year three to make the following project "acceptable?" Initial cost = $63,000; cash flows at end of years one and two = $35,000; opportunity cost of capi ...

For planning purposes truss manufacturers must try to

For planning purposes, truss manufacturers must try to predict the number of hurricanes that will hit the eastern seaboard of the United States in any given year. If this area is hit with an average of 6 hurricanes per y ...

Complete parts a and b using the probability distribution

Complete parts (a) and (b) using the probability distribution below.  The number of overtime hours worked in one week per employee Overtime hours 0 1 2 3 4 5 6 Probability 0.016 0.063 0.178 0.283 0.220 0.173 0.067 Find t ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

Compute the present value of an 1150 payment made in ten

Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As

Follow Us

© Copyright 2013-14 mywordsolution.com All rights reserved