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Q: The mean or expected value of the distribution of a discrete random variable is?
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Is the number of pills in a container of vitamins discrete or continuous?

Discrete random variable


Is the mean of probability distribution is called its expected value?

No. The mean is the expected value of the random variable but you can also have expected values of functions of the random variable. If you define X as the random variable representing the result of a single throw of a fair die, the expected value of X is 3.5, the mean of the probability distribution of X. However, you play a game where you pay someone a certain amount of money for each throw of the die and the other person pays you your "winnings" which depend on the outcome of the throw. The variable, "your winnings", will also have an expected value. As will your opponent's winnings.


How do you find the expected value of X?

For a discrete probability distribution, you add up x*P(x) over all possible values of x, where P(x) is the probability that the random variable X takes the value x. For a continuous distribution you need to integrate x*P(x) with respect to x.


A discrete random variable can have only certain clearly separated values?

true.


How do you find the range of distribution?

The largest value minus the smallest value. In statistics, a distribution is the set of all possible values for terms that represent defined events. There are two major types of statistical distributions. The first type has a discrete random variable. This means that every term has a precise, isolated numerical value. An example of a distribution with a discrete random variable is the set of results for a test taken by a class in school. The second major type of distribution has a continuous random variable. In this situation, a term can acquire any value within an unbroken interval or span. Such a distribution is called a probability density function. This is the sort of function that might, for example, be used by a computer in an attempt to forecast the path of a weather system.

Related questions

Can the Poisson distribution be a continuous random variable or a discrete random variable?

True


Is the expected value of a discrete random variable equal to the mean of the random variable?

yes?


Is the gender of college students a discrete random variable a continuous random variable or not a random variable?

It is a discrete random variable.


What is discrete probability distribution?

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


What is the difference between discrete and cumulative distributions?

A discrete distribution is one in which the random variable can take only a limited number of values. A cumulative distribution, which can be discrete of continuous, is the sum (if discrete) or integral (if continuous) of the probabilities of all events for which the random variable is less than or equal to the given value.


What is the definititon of a discrete random variable?

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


A random variable that can assume only a finite number of values is referred to as?

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


What would the integer be of a rolled number cube?

It could be a random variable with a discrete uniform distribution over the range 1 to 6.


What does the mean have to do with a normal distribution?

Almost all statistical distribution have a mean. It is the expected value of the random variable which is distributed according to that function.


Is the number of pills in a container of vitamins discrete or continuous?

Discrete random variable


Is the random variable x equals 1 be stated that the random variable is discrete?

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


Is the mean of probability distribution is called its expected value?

No. The mean is the expected value of the random variable but you can also have expected values of functions of the random variable. If you define X as the random variable representing the result of a single throw of a fair die, the expected value of X is 3.5, the mean of the probability distribution of X. However, you play a game where you pay someone a certain amount of money for each throw of the die and the other person pays you your "winnings" which depend on the outcome of the throw. The variable, "your winnings", will also have an expected value. As will your opponent's winnings.