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It can take only a finite number of values. These need not be integer values.

Q: A random variable is said to be discrete if?

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Discrete random variable

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true.

A random variable such as the number of keys on each student's key chain is discrete because you can list the possible values it can assume. If it was continuous one would not be list a continuous random variable because it would be impossible. The keys on the key chains would be discrete.

it is a continuous random variable

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It is a discrete random variable.

The discrete random variable almost always arises in connection with counting.

True

That would be a discrete variable; or, in your case, it would probably be called a discrete random variable.

yes?

Discrete random variable

If x = 1 then X is not really a random variable but a constant.

The random variable is discrete

A discrete random variable is a variable that can only take some selected values. The values that it can take may be infinite in number (eg the counting numbers), but unlike a continuous random variable, it cannot take any value in between valid results.

· A variable whose values are determined by the outcomes of a random experiment is called a random variable. A random variable is a discrete random variable if it can assume values, which are finite or countable infinite. For example, tossing of a die is a random experiment and its outcomes 1, 2, 3, 4, 5 and 6 are discrete random variable. When a coin is tossed, its outcomes head and tail are discrete random variable. Three coins are thrown; the number of heads is example of discrete random variable. Note that the outcomes need ot be integers or even numbers (eg colour of eyes). · If a random variable can assume every possible value in an interval [a, b], a< b, where a and b may be - infinity and + infinity respectively, for example, the points on number line between 0 and 1; Value of 'x' between 0 and 2; Number of heads on a coin when it is tossed infinite times.

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It is a function that gives the probabilities associated with the discrete number of values that a random variable can take.