Calculate the probability

Reference no: EM13981858

Let X1, X2, X3 be r.v.'s with p.d.f. f given by f(x1, x2, x3) = 8x1x2x3 IA(x1, x2, x3), where A = (0, 1) ´ (0, 1) ´ (0, 1).

i) Show that these r.v.'s are independent;

ii) Calculate the probability P(X1 <>X2 X3).

Reference no: EM13981858

Questions Cloud

Design the most efficient centrifugal pump : Design the most efficient centrifugal pump that produces 200 gpm (45.5cumeters/hr) water flow rate at 100 psi (680 kPa) head. Specify the impellor diameter and width for a 3400 rpm service.

Calculate the total energy of the particle in joules : A particle of mass 1g movers in a circular orbit of radius 1m under the influence of the gravitational force due to a body of mass 2kg. Calculate the total energy of the particle in Joules ?

What is the particle speed after it exits this region : A particle with mass m=1.25x10-6 g and charge q=-9.44 oC is projected with speed v0=104 ms into the region between two parallel plates as shown. The potential difference between the two plates is V=6000 V and their separation is d=10.0 cm . The pa..

Calculate the following values for both firm u and firm l : If required return on assets, r, for these firms is 12.5% and the risk free debt yields 5%, calculate the following values for both firm U and firm L. (1) total firm value, (2) market value of debt and equity, and (3) required return on equity.

Calculate the probability : i) Show that these r.v.'s are independent; ii) Calculate the probability P(X1 X2 X3).

Prepare general journal entries to record given transactions : Prepare general journal entries to record the above transactions and the depreciation journal entries required at the end of each reporting period up to June 2014 (Narrations are not required but show all workings)

Find the componant of the velocity of the particle : A particle with mass m=6.6x10-27 kg and charge q=+2e is moving in a magnetic field. it has a spiral trajectory with a radius of 30 cm. The magnitude of the manetic field is .5t. Find the componant of the velocity of the particle which perpendicula..

Determine program effectiveness and in order to make : In order to determine program effectiveness and in order to make preschool assessment policy decisions, children, teacher and school are increasingly measured through standardized achievement tests (Decker, 2009).

Calculate the initial velocity of the projectile : A student performs the projectile motion experiment and records the following values for the photogate velocity and measured range of the projectile at an elevation angle of θ = 30o, Calculate the initial velocity (vo) of the projectile for each of..

User Account

All Pages