Respuesta :
A discrete random variable may take on only a countable number of distinct values such as 0,1,2,3,4,...
Discrete random variables are usually (but not necessarily) counts. If a random variable can take only a finite number of distinct values, then it must be discrete. Examples of discrete random variables include the number of children in a family, the Friday night attendance at a cinema, the number of patients in a doctor's surgery, and the number of defective light bulbs in a box of ten.
The probability distribution of a discrete random variable is a list of probabilities associated with each of its possible values. It is also sometimes called the probability function or the probability mass function.
Example'
The cumulative distribution function for the above probability distribution is calculated as follows:
The probability that [tex]X[/tex] is less than or equal to is 0.1,
the probability that [tex]X[/tex] is less than or equal to 2 is 0.1+0.3 = 0.4,
the probability that [tex]X[/tex] is less than or equal to 3 is 0.1+0.3+0.4 = 0.8, and
the probability that [tex]X[/tex] is less than or equal to 4 is 0.1+0.3+0.4+0.2 = 1.
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