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What is the study of mathematical probability distribution deviation?

It is "probability".


Is the uniform probability distribution's standard deviation proportional to the distribution's range?

no


What is Normal of probability distribution?

with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.


What is Normal of Standard Normal Probability Distribution?

with mean of and standard deviation of 1.


Why is the standard normal probability distribution unique?

a mean of 1 and any standard deviation


How do you calculate probability given mean and standard deviation?

The mean and standard deviation do not, by themselves, provide enough information to calculate probability. You also need to know the distribution of the variable in question.


What information do you need to calculate a probability with a normal distribution?

Only the mean, because a normal distribution has a standard deviation equal to the square root of the mean.


Is probability density function and gaussian distribution function are same?

yes, h=1/sigma(standard deviation)


Suppose z has a standard normal distribution with a mean of 0 and a standard deviation of 1. the probability that z is less than 1.15 is?

probability is 43.3%


Poisson distribution the mean and standard deviation?

The Poisson distribution is a discrete distribution, with random variable k, related to the number events. The discrete probability function (probability mass function) is given as: f(k; L) where L (lambda) is the mean and square root of lambda is the standard deviation, as given in the link below: http://en.wikipedia.org/wiki/Poisson_distribution


What is the probability that the life of a single tire will be less than 39200 miles Sampling distribution mean life of 40000 miles with a standard deviation of 4620 miles?

The probability is 0.4312


How much is 84 percentile equals mean plus 1 standard deviation or mean plus 1.4 standard deviation. Can you give me reference also please?

The cumulative probability up to the mean plus 1 standard deviation for a Normal distribution - not any distribution - is 84%. The reference is any table (or on-line version) of z-scores for the standard normal distribution.