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It depends on the possible range of the random numbers. The question, as stated, does not have enough information to answer. Please restate the question.

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Q: What is the probability that the random variable has a value greater then 3.2?
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Why not simply use the mean value of the regressand as its best value?

Variance" is a mesaure of the dispersion of the probability distribution of a random variable. Consider two random variables with the same mean (same aver-age value). If one of them has a distribution with greater variance, then, roughly speaking, the probability that the variable will take on a value far from the mean is greater.


What is the meaning of random variable in probability distribution?

It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.


What is the probability that a continuous random variable takes on a specific value?

Zero.


What is measured by the numerator of the z-score test statistic?

The z-score, for a value z, is the probability that a Standard Normal random variable will have a value greater than z.


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.

Related questions

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.


Why not simply use the mean value of the regressand as its best value?

Variance" is a mesaure of the dispersion of the probability distribution of a random variable. Consider two random variables with the same mean (same aver-age value). If one of them has a distribution with greater variance, then, roughly speaking, the probability that the variable will take on a value far from the mean is greater.


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.


How often the value of a random variable is at or below a certain value.?

The probability of a random variable being at or below a certain value is defined as the cumulative distribution function (CDF) of the variable. The CDF gives the probability that the variable takes on a value less than or equal to a given value.


What is the meaning of random variable in probability distribution?

It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.It is a variable that can take a number of different values. The probability that it takes a value in any given range is determined by a random process and the value of that probability is given by the probability distribution function.


What is the probability that the random variable has a value less than 5?

That depends on the rules that define the random variable.


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 that a continuous random variable takes on a specific value?

Zero.


What is measured by the numerator of the z-score test statistic?

The z-score, for a value z, is the probability that a Standard Normal random variable will have a value greater than z.


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.


What are the 2 conditions that determine a probability distribution?

The value of the distribution for any value of the random variable must be in the range [0, 1]. The sum (or integral) of the probability distribution function over all possible values of the random variable must be 1.


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.