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

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Q: For a continuous random variable the probability that the value of x is greater than a given constant is?
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What percent probability is associated with a z-value of 1.3?

None. The probability of a continuous variable taking any particular value is always zero. The probability is greater than zero only when an interval (or range) is specified.


Is the uniform probability distribution is symmetric about the mode?

Yes, the uniform probability distribution is symmetric about the mode. Draw the sketch of the uniform probability distribution. If we say that the distribution is uniform, then we obtain the same constant for the continuous variable. * * * * * The uniform probability distribution is one in which the probability is the same throughout its domain, as stated above. By definition, then, there can be no value (or sub-domain) for which the probability is greater than elsewhere. In other words, a uniform probability distribution has no mode. The mode does not exist. The distribution cannot, therefore, be symmetric about something that does not exist.


What is the probability that z (the standard normal distribution variable) is greater than 1?

It is 0.1587


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.


Can a probability be greater than 1?

A probability can never be greater than 1.


Let X be a normal random variable with mean 10 and standard deviation of 5 What is the probability that X is greater than 12?

30 percent.


What is the probability that the random variable has a value greater then 3.2?

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.


Why can't the probability be greater then one?

A probability of 1 means something will definitely happen. There cannot be a greater certainty than that, so probability cannot be greater than 1.


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.


Why is the probability of an event always a number between 0 and 1?

The probability of an event is defined as the ratio of favourable outcomes to total outcomes. In the case of discrete distributions these will be represented by numbers, while for continuous distribution they will be measured as areas. In either case, the first measure is non-negative and the second is positive and so the probability is greater than 0. Also, the number of favourable outcomes cannot be greater than the total so the probability must be at most 1.


What is the probability of the mean being greater than 78?

A very high probability if your numbers are greater than 78.


What is the Probability over 700?

Probability cannot be greater than 1.