Describe Discrete Random Variable

Some of the commonly known probability distributions of discrete random. variable are Binomial distribution and Poisson distribution. The following are the examples of sample spaces of some of the experiments commonly mentioned in probability problems. . . . . . . . . . . . . . . . . . . . Experiment. . . . . . . Sample Space. . . . . . . Throwing a six faced die. {1,2,3,4,5,6}. . Tossing a coin. {H,T}. . Picking a square from the numbers 1 to 50. {1,4,9,16,25,36,49}. . Throwing two dice simultaneously. {(1,2),(1,2. . . . (1,6)(2,1),(2,2). . . . (2,6)(3,1),(3,2). . . . . (3,6)(4,1),(4,2). . . . . (4,6)(5,1),(5,2). . . . . (5,6)(6,1),(6,2). . . . . (6,6)}. . The sex of the offsprings in family having two children. . . . . . . {BB,BG,GB,GG}. We see in the above table, that the experiments throwing a six faced die and picking a square number have numerical entries as outcomes. While the experiment, throwing two dice has numerical ordered pairs and the remaining two experiments have non numerical ordered pairs as outcomes in their respective sample spaces. Even in the instances of non numerical entities, a number can be assigned to the elements of the sample space. . . . . . . . . . .

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