The probability pk is a function of xk. This function is called the probability distribution of the random variable ξ. It is usual to write this distribution in the form of a table where the possible values of the function ξ with their probabilities are enumerated. Such an array is known...
Theprobability distributionorprobability mass functionof a discrete rv is defined for every number x by p(x)=P(X=x)=P(all s in δ:X(s)=x): In words, for every possible value x of the random variable, the function specifies the probability of observing that value when the experiment i...
The probability distribution of a random variable x is given as under P(X=x)=⎧⎪⎨⎪⎩kx2x=1,2,32kxx=4,5,60,otherwise where, k is a constant. Calculate (i) E(X) (ii)E(3X2)(iii)P(X≥4) View Solution Doubtnut is No.1 Study App and Learning App with Instant Video ...
A random variable X is said to be continuous if its set of possible values is an entire interval of numbers -- that is, if for some A<B, any number x between A and B is possible. Probability Distribution of Continuous Variables Let X be a continuous rv. Then aprobability distributionor...
【题目】A random variable X has the probability distribution functionP(X=x)=1/(5u),x=1,.,... where n is a positive integer.Find in terms of n an expression for the variance of XYou may assume that∑_(i=1)^ni=(n(n+1))/2 and that∑_(i=1)^n(i^2)=n/6(n+1)(2n+1)...
In the histogram for a random variable, the area of each bar is proportional to the probability represented by the bar. The sum of the areas is 1 and the sum of the probabilities is 1. This is also true for a continuous probability distribution: The area of the region under the curve ...
Introduction to random variables and probability distribution functions Show Step-by-step Solutions Random variables - Probability and Statistics Show Step-by-step Solutions Discrete and continuous random variables Show Step-by-step Solutions Try the freeMathway calculator and problem solverbelow to practic...
Sections 4.1 and 4.2 present the basic definitions and properties of continuous random variables, their probability distributions, and their moment generating functions. In Section 4.3, we study in detail the normal random variable and distribution, unquestionably the most important and useful in ...
The probability distribution of a random variable X is given by. X=x:01234P(X=x):0.40.30.10.10.1 The variance of X, is View Solution The probability distribution of the random variables X is given by X1234P(X=x)1/81/21/81/4 ...
The probability distribution of random variable X is given below: x 2 4 P(X) 0.9 0.1 What is {eq}\sigma^2_x {/eq} (rounded to four decimal places)? Variance from probability distribution.: Probability Distribution can enable one to find ...