Approximated with a triangular probability density function

Assignment Help Mechanical Engineering

Reference no: EM13712228

The distribution of X is approximated with a triangular probability density function f(x) = 0.025x-0.0375 for 30<x<50 and -0.025x + 0.0875 for 50<x<70. Please help me determine the following:

a) P(X<=40) (would integrate equation 1 from -? to 40 ?)

b) P(40<X<=60) (would integrate equation 1 from 40 to 50 and equation 2 from 50 to 60 ?)

c) Value x exceeded with probability 0.99.

Reference no: EM13712228

Questions Cloud

How do they fit within the situational crime prevention : What are the countermeasures to those threats, and how do they fit within the Situational Crime Prevention framework - how does the current law help or hinder your countermeasures? Are there any proposals for laws that would assist?

Magnitude of force transmitted to module through isolator : An electronic control system for an automobile engine is to be mounted on top of the fender inside the engine compartment. It is desirable to isolate the module from the vibration induced in the car by road and engine vibration. Design an isolator (i..

Determine the final mixture temperature : A 0.9-m3 rigid tank is divided into two equal compartments by a partition. One compartment contains Ne at 0C and 100 kPa, and the other compartment contains Ar at 50 C and 200 kPa. Now the partition is removed, and the two gases are allowed to mix. H..

Logarithm stress versus logarithm rupture lifetime plot : Estimate the rupture lifetime (in hrs) for some cylindrical component originally 10.5 mm in diameter and 496 mm long that is fabricated from a low carbon-nickel alloy; assume that it is to be exposed to a tensile load of 6300 N at 538°C. The logarith..

Approximated with a triangular probability density function : The distribution of X is approximated with a triangular probability density function f(x) = 0.025x-0.0375 for 30

What is the optimal production schedule for this firm : What is the optimal production schedule for this firm? What is the profit contribution of each of these products and what is the marginal value of an additional hour of time on machine.

Find the thermal efficiency-net work and work ratio : A single-stage ideal regenerative steam cycle has a boiler pressure and temperature of 5000 kPa and 500 C, and a condensing pressure of 10 kPa. The extraction pressure is 500 kPa. If the regenerative heater is a closed heater with the condensate pump..

Considering a water drive gas reservoir where bulk volume : We are considering a water drive gas reservoir where the bulk volume invaded by water at pf (3325 psia) is 47.3 mm ft^3. the following data are also available: Wp=25,600 STB, Pi=3600psia, Swi=.27, Bgf=.0057 ft^3/scf, Porosity=.19, Gp=1.735 mmm scf, P..

What is the critical crack length for fracture : A beam with a rectangular cross section has dimensions of b =40 mm and t= 20 mm. The beam is made of 7475-T7351 aluminium and is subjected to a bending moment of M = 900 N*m

User Account

All Pages