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The value of a random variable that is uniformly distributed between 20 and 100 can be calculated by calculating the sum of numbers from 20 to 100 and dividing it by the difference between 100 and 20. The resulting mean is 58.5.

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What is the difference between the mean and z-score?

There is little in common between the two. Any set of numbers can have a mean. A z-score the standardised version of the Gaussian (or Normal) distribution. If X is a random variable that is normally distributed with mean µ and variance σ2 then Z = (X - µ)/σ is distributed with mean 0 and variance 1. Z is said to have the Standard Normal distribution. The value of Z is the z score for the random variable X..


What is the probabilty that the individuals pressure will be between 120 and 121.8 if the mean pressure is 120 and the standard deviation is 5.6 with a normally distributed variable?

It is 0.37, approx.


What is the difference between the normal distribution and Poisson distribution?

The normal distribution is a continuous probability distribution that describes the distribution of real-valued random variables that are distributed around some mean value.The Poisson distribution is a discrete probability distribution that describes the distribution of the number of events that occur within repeated fixed time intervals, where the mean frequency is a known value, and each interval is independent of the prior interval(s)/event(s).


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.


What is the difference between probability distribution and probability density function?

A probability density function assigns a probability value for each point in the domain of the random variable. The probability distribution assigns the same probability to subsets of that domain.

Related Questions

What is the relationship between center of mass and mass distribution?

The center of mass is the point where an object's mass is considered to be concentrated. The mass distribution refers to how the mass is distributed within the object. The position of the center of mass depends on the mass distribution of the object.


Which distribution pattern has no order to how it is distributed through an ecosystem?

Random distribution pattern has no specific order to how individuals are distributed through an ecosystem. In this pattern, individuals are spaced unpredictably, and there is no apparent relationship between them. This pattern is common when resources are uniformly distributed or when interactions among individuals are minimal.


What is the relationship between the voltage inside a uniformly charged sphere and the distribution of charge within the sphere?

The voltage inside a uniformly charged sphere is directly related to the distribution of charge within the sphere. As the charge distribution becomes more uniform, the voltage inside the sphere becomes more evenly distributed. This means that the voltage is higher towards the center of the sphere where the charge is concentrated, and decreases towards the surface where the charge is spread out.


What is the difference between the mean and z-score?

There is little in common between the two. Any set of numbers can have a mean. A z-score the standardised version of the Gaussian (or Normal) distribution. If X is a random variable that is normally distributed with mean µ and variance σ2 then Z = (X - µ)/σ is distributed with mean 0 and variance 1. Z is said to have the Standard Normal distribution. The value of Z is the z score for the random variable X..


What is the difference between homogeneous and heterogeneous?

A homogeneous mixture is one in which all components are uniformly distributed throughout the mixture. In a heterogeneous mixture the components are not evenly distributed throughout the mixture.


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.


What is the probability that a randomly selected case from a normally distributed distribution will have a score between -1.00 and the mean?

The answer is 0.1586


The difference between an empirical distribution and a theoretical distribution?

Empirical Distribution: based on measurements that are actually taken on a variable. Theoretical Distribution: not constructed on measurements but rather by making assumptions and representing these assumptions mathematically.


When molecules are evenly distributed through a liquid what is it called?

When molecules are evenly distributed through a liquid it is called a homogeneous mixture, or solution. This means that the substances are uniformly spread throughout the liquid and there is no visible distinction between the different components.


When does resonace occur?

resonance occur charge is not uniformly distributed and difference of electronegativity is there between central atom and attached atom..it takes place sulphates, phenoxides nd carbonates


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.


What is the difference between a normal distribution and a standard normal distribution?

when you doesnt have information about the real mean of a population and use the estimation of mean instead of the real mean , usually you use t distribution instead of normal distribution. * * * * * Intersting but nothing to do with the question! If a random variable X is distributed Normally with mean m and standard deviation s, then Z = (X-m)/s has a standard Normal distribution. Z has mean 0 and standard deviation = 1 (or Variance = sd2 = 1).