Explain joint density funciton

Assignment Help Mathematics

Reference no: EM13204389

Suppose X, Y and Z are random variables with joint density funciton f (x, y, z) = Ce^-(0.5x+0.2y+0.1z) if x>0, y>0, z>0 and f(x, y, z) = 0 otherwise.
(a) Find the value of the constant C.
(b) Find P (X<1, Y<1).
(c) Find P (X<1, Y<1, Z<1).

Reference no: EM13204389

Questions Cloud

State the volume of a square-based rectangular cardboard box : The volume of a square-based rectangular cardboard box needs to be 1000 cm^3. Determine the dimensions that require the minimum amount of material to manufacture all six faces.

Explain model for the random variable x : Count the nu,ber of times you draw a card in this manner until you observe a jack. Is a binomial distribution a reasonable probability model for the random variable X? State your reason clearly.

State a scale model of a museum made of cubic blocks : A scale model of a museum made of cubic blocks. In my answer document sketch the view as it would appear from 2nd avenue.

Explain viscous fluid flows between two rigid boundaries : Viscous fluid flows between two rigid boundaries at y=0, y=h, the lower boundary moving in the x direction with constant speed U. The upper boundary is at rest. The boundaries are porous and the vertical velocity is V (constant) at each one.

Explain joint density funciton : Suppose X, Y and Z are random variables with joint density funciton f (x, y, z) = Ce^-(0.5x+0.2y+0.1z) if x>0, y>0, z>0 and f(x, y, z) = 0 otherwise.

Explain the specific heat capacity of water : How much heat (in kJ) is absorbed by a 500. g sample of water when it is heated from 44.0°C to 67.0°C? The specific heat capacity of water is 4.184 J/g°C.

Find what is its temperature after minutes : A roast turkey is taken from an oven when its temperature has reached 195 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit.

What is the percentile of the standard normal distribution : Answer the following questions about the standard normal random variable Z. (Use 4 decimal places in your answers to parts a. through, What is the 97.5th percentile of the standard normal distribution?

Compute the charge and current at time t : The initial charge is Q = 0.001 C and the initial current is 0." Find the charge and current at time t

User Account

All Pages