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1. Random Variable A random variable is a real valued function defined on a sample space S of an experiment. In other words, to each one of the outcomes of an experiment or a sample point E, of the sample spaces, there corresponds a unique real number xi, known as the value of the random variable X. 2. Discrete Random Variable A random variable is said to be discrete if it take only a finite or an infinite but countable number of values. 3. Properties of DRV If p(x) is a probability function of a random variable X, then it possesses the following properties: 1. p (x) is positive for all value of x. 2. Total of all values of p(x) for different x is always 1. 3. p(x) measures the probability for any given value of x. 4. p(x) cannot be negative for any value of x. Dear students if you have any doubt regarding this lecture, you may ask freely and send your feedback for improvement of lecture series. Subscribe and Share with ur Friends And don’t forget press notification bell EKLAVYA ACADEMY B-191, New Ashoka Garden, 80 Feet Road near Parihaar Chouraha, opposite SBI and AXIS Bank ATM, Bhopal 462023 (INDIA) Email Id: [email protected] YouTube Channel Dr. Sonendra Gupta / @drsonendragupta Social Sites: 1.Face book page: / drsonendragupta 2.Blog: https://sonendragupta.blogspot.in/ 3.Twitter page: / sonendra_gupta