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Does the probability that a continuous random variable take a specific value depend on the probability density function?

No. The probability that a continuous random variable takes a specific value is always zero.


Is temperature an example of continuous variable?

Yes. It is a continuous variable. As used in probability theory, it is an example of a continuous random variable.


Is the normal probability distribution applied to a continuous random variable?

Yes.


How do you get the median of a continuous random variable?

You integrate the probability distribution function to get the cumulative distribution function (cdf). Then find the value of the random variable for which cdf = 0.5.


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 are your expectations in mathematics?

In probability theory, the expectation of a discrete random variable X is the sum, calculated over all values that X can take, of : the product of those values and the probability that X takes that value. In the case of a continuous random variable, it is the corresponding integral.


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

True


What is the formula for a random variable?

The formula, if any, depends on the probability distribution function for the variable. In the case of a discrete variable, X, this defines the probability that X = x. For a continuous variable, the probability density function is a continuous function, f(x), such that Pr(a < X < b) is the area under the function f, between a and b (or the definite integral or f, with respect to x, between a and b.


Difference between a random variable and a probability distribution is?

A random variable is a variable that can take different values according to a process, at least part of which is random.For a discrete random variable (RV), a probability distribution is a function that assigns, to each value of the RV, the probability that the RV takes that value.The probability of a continuous RV taking any specificvalue is always 0 and the distribution is a density function such that the probability of the RV taking a value between x and y is the area under the distribution function between x and y.


For a continuous random variable the probability that the value of x is greater than a given constant is?

The integral of the density function from the given point upwards.


What is the probability the random variable will assume a value between 40 and 60?

It depends on what the random variable is, what its domain is, what its probability distribution function is. The probability that a randomly selected random variable has a value between 40 and 60 is probably quite close to zero.


Can a random variable include the probability of an event?

No.