Find the probability density function, Mathematics

Assignment Help:

1. 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.

 


Related Discussions:- Find the probability density function

5th grade math, jack and his mother paid $11.50 for tickets to the movies. ...

jack and his mother paid $11.50 for tickets to the movies. An adult''s ticket costs $4.50 more than a child''s ticket. What was the cost of each ticket?

Calculus, I need help with my calculus

I need help with my calculus

How much do they save if they pay the bill inside 10 days, Oscar's Oil Comp...

Oscar's Oil Company provides customers a 5% discount if they pay their bill within 10 days. The Stevens' oil bill is $178. How much do they save if they pay the bill inside 10 days

Find out the surface area of the solid, Find out the surface area of the so...

Find out the surface area of the solid acquired by rotating y = √ (9-x 2 ), - 2 x 2 about the x-axis. Solution The formula that we'll be using here is, S = ∫ 2Πyds

#tnumarancyitle.., what is classification and how can you teach it?

what is classification and how can you teach it?

Can u please tell me how to solve, a triangle with side lengths in the rati...

a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle

Proof of alternating series test, Proof of Alternating Series Test With...

Proof of Alternating Series Test With no loss of generality we can assume that the series begins at n =1. If not we could change the proof below to meet the new starting place

How much was invested at 12% if the total annual interest, Jackie invested ...

Jackie invested money in two different accounts, one of that earned 12% interest per year and another that earned 15% interest per year. The amount invested at 15% was 100 more tha

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd