Prior probability that the component is not functioning

Reference no: EM131832660

Suppose that an unmanned rocket is being launched, and that at the time of the launching a certain electronic component is either functioning or not functioning. In the control center there is a warning light that is not completely reliable. If the electronic component is not functioning, the warning light goes on with probability 1/2; if the component is functioning. the warning light goes on with probability 1/3. At the time of launching. an observer notes whether the warning light is on or off. I t must then be decided immediately whether or not to launch the rocket. Suppose that the losses, in millions of dollars, are as follows:

2279_time of launching.png

(a) Suppose that the prior probability that the component is not functioning is δ =2/5. If the warning light does not go on, is the Bayes decision 10 launch the rocket or not to launch it?

(b) For what values of the prior probability δ is the Bayes decision to launch the rocket, even if the warning light goes on?

Reference no: EM131832660

Questions Cloud

Find a test procedure : It is desired to find a test procedure for which the expected loss will be a minimum. For what values of X should it be decided that the process is out

Explain how gender impacts the social institution : Describe and analyze the effect that the stratification elements of gender have on that social institution. Include the following in your analysis.

What is the bayes decision when the system breaks down : H 4 of these components are used in part A and the other 32 components are used in part B. what is the Bayes decision when the system breaks down?

Represent locations as integer pairs : Represent locations as integer pairs (x, y). Implement the drunkard's walk over 100 intersections, starting at (0, 0), and print the ending location.

Prior probability that the component is not functioning : For what values of the prior probability d is the Bayes decision to launch the rocket, even if the warning light goes on?

Prepare an income statement for january 2014 : Prepare an Income Statement for January 2014 and a BalanceSheet as of January 31, 2014.

Calculate the annual growth rate of real gdp per person : The Penn World Tables, available free online, are a reliable source of international economic data, and they are very popular among economists.

Particular type of factory have a certain lung disease : Suppose that 10 percent of all the workers in a particular type of factory have a certain lung disease. Suppose also that a diagnostic test is available

Write a program that prompts the user for an integer : Write a program that prompts the user for an integer and then prints out all prime numbers up to that integer.

User Account

All Pages