Probability Density Function Random Variable
Introduction to Probability Density Function Random variable
A random variable X on a sample space S is a function that assigns a real numbers to each sample point in a sample space of Random experiment.
Example: -In a Random experiment of tossing two coins, we have two sample space HH, HT, TH, TT
We consider a random variable X which is the number of heads obtained then X is a random variable can take values 0, 1, 2.
HH HT TH TT
2 1 1 0
Random variables are of two types
1. Discrete Random variable
2. Continuous Random variable
Discrete Function Random Variable of Probability Density
If the Random variable X assumes only finite or countable infinite set of values it is known as discrete random variable.
Probability density function of Discrete Random variable:-
Suppose X is a Random variable which can take at the most a countable number of values X1, X2, X3, Xnwith each value ofX. We associate a number
Pi= P ( X = Xi) ; i = 1,2,..............n
Which is known as the probability of Xiand satisfies the following conditions?
pi= P ( X = Xi)'>='0 ( i = 1,2,..............n ) i.e., pi's are all non- negative and
sum'pi= p1+ p2+................... + pn= 1
i.e., the total probability is one.
Having problem with awesome adding radicals tangent form - http://calculator.tutorvista.com/math/511/adding-radicals-calculator.html i recently used.
The function pi= P ( X = Xi) ; i = 1,2,..............n is called the probability function or more precisely probability mass function of the random variable X .
Probability Density Function of Continuous Random Variable
A random variable X is said to be continuous if it can take all possible values between two limits.
Probability density function of Continuous Random variable:-
Let X be a continuous random variable taking values on the interval [ a, b ].
A function p ( x ) is said to be probability density function of a continuous random variable X if it satisfies the following properties
p ( x )'>='0 for all x in the interval [a,b]
For two distinct numbers c and d in the interval [a,b]
P ( c'
by: mathqa
Understanding The Importance Of Security Cameras How Does A Kidney Dialysis Machine Work? Coach Outlet Top Squat Brownlatico Angie 7921 Clutchcaravan Monitor Wide Lace Top Tips To Choose The Best Eye Cream Une Voiture Doccasion Que Vous Choisirez Vraiment, Cest Possible! Monthly M&a Insider July 2012 Flowers Speak Out The Feeling Of Ones Heart The History Of The Bra Chiro Newark Nj Facilities To Deal With All Kinds Of Spine Problems I Sorted Out Podium Scaffolding The Perfect Lighting Options Impacts Of Narcotics In The Body Uses Of A Ct Angiogram