Find the probability density function, Basic Statistics

The lifetime T (in days) of an electrical component has reliability function given by: R(t) = e-0:01t for time t > 0. An electrical system consists of four such components. The system continues to function if at least one component is still 'alive' and the system is repaired (by replacing all the components) when all components have expired.

(a) Find the probability density function (PDF) of T, the lifetime of a component in the system.

(b) Show that this is a valid PDF.

(c) Find the reliability function for the system.

(d) Find the probability that the system lasts for longer than 1 year (365 days).

(e) Simulate the lifetime of the system.

(f) Set the random number seed using set.seed(1). Then simulate 20 lifetimes for the system. Calculate the sample mean lifetime of the system using your 20 simulated values.

 

Posted Date: 3/28/2013 2:02:35 AM | Location : United States







Related Discussions:- Find the probability density function, Assignment Help, Ask Question on Find the probability density function, Get Answer, Expert's Help, Find the probability density function Discussions

Write discussion on Find the probability density function
Your posts are moderated
Related Questions
How many different license plate of 5 digits can be made if the most let digit is 4 and the second digit from left is an odd number

1. HV Inc. is trying to determine the optimal time to undertake a product expansion. The project will require an initial investment of $15M and the firm has a WACC of 3%. The expan

Find a population data set that contains six entries, has a mean of 5, and has a standard deviation of 2

A pharmaceutical company is a monopoly in Alzheimer's disease drugs and faces the following inverse demand curve: , where α is the level of advertising. Its marginal production

Statistical inference is that branch of statistics Statistical inference is that branch of statistics which is concerned with using probability concept to deal with uncertainty

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

What after the implementation of IFRS?  Manager 1: IFRS is only the first step towards the change that the SEC is trying to bring in. Firstly it is going to take a couple of year

How important do you think knowledge transfer and training will be to help in transitioning from GAAP to IFRS? Manager 1: Knowledge transfer is going to be extremely importan

Tuddenham and Snyder obtained the following results for 66 California boysat ages 6 and 18 (the scatter diagram is football-shaped): average height at 6 ˜ 3 feet 10 inches, SD˜1.7

For our class homework we prepared a 3-month forecast for sales (12 months with actual sales for each month). What or how do we figure the absolute deviation of the 3-month foreast