Determining random number generation

Assignment Help Basic Statistics

Reference no: EM1399252

A) The time until a component is taken out of service is uniformly distributed on 0 to 8 hours. Two such independent components are put in series, and the whole system goes down when one of the components goes down. If Xi (i=1,2) represents the component run times, then Y=min(X1,X2) represents the system lifetime. Devise two distinct ways to generate Y. [Hint: One way is relatively straightforward using the random numbers. For the other method, compute the CDF of Y and then use the independence of the component times].

B) Assume the component lifetimes are exponentially distributed, one with mean 2 hours and the other with mean 6 hours. Rework the above problem (in a) under this assumption.

Please show all work.

Reference no: EM1399252

Questions Cloud

Distinguish health care delivery and management options : Distinguish health care delivery and management options available in U.S with health care delivery and management options available in different country of your choice.

Which of the following would not be stimulated by neurons : Which of the following would not be stimulated by neurons originating in the hypothalamus.

Compute the number of moles of water : Compute the number of moles of H2O will be formed from the reaction 75.1g benzene?

How relates to the ability of mutant kinesin : Discuss how the kinetic parameters you measured for mutant kinesin should theoretically alter the function of the mutant enzyme compared to the wild type enzyme.

Determining random number generation : The time until a component is taken out of service is uniformly distributed on 0 to 8 hours. Two such independent components are put in series, and the whole system goes down when one of the components goes down.

Calculate the concentration of calcium : Calculate the concentration of Calcium (MW 40.078 g/mol) in the H2O in units of gram per 100 mL and calculate the concentration of Calcium (MW 40.078 g/mol) in the H2O in units of gram per 100 mL.

Firms in japan habitually employ high operating leverage : Firms in Japan habitually employ high operating and financial leverage because of the use of modern technology and close borrower-lender relationships

List the perceived deficiencies of the four not selected : Explain why you decided on these two and not the other four. List the perceived deficiencies of the four not selected.

Exponential probability density function : Consider the following exponential probability density function: This number represents the time between arrivals of customers at the drive-up window of a bank.

User Account

All Pages