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I will give first the non-mathematical definition as given by Triola in Elementary Statistics: A random variable is a variable typicaly represented by x that has a a single numerical value, determined by chance for each outcome of a procedure. A probability distribution is a graph, table or formula that gives the probabability for each value of the random variable. A mathematical definition given by DeGroot in "Probability and Statistics" A real valued function that is defined in space S is called a random variable. For each random variable X and each set A of real numbers, we could calculate the probabilities. The collection of all of these probabilities is the distribution of X. Triola gets accross the idea of a collection as a table, graph or formula. Further to the definition is the types of distributions- discrete or continuous. Some well know distribution are the normal distribution, exponential, binomial, uniform, triangular and Poisson.
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What are the Similarities of discrete probability distribution and continuous probability distribution?
They are probability distributions!
Why if a probability distribution curve is bell shaped why is this a normal distribution?
A bell shaped probability distribution curve is NOT necessarily a normal distribution.
How do you convert a beta probability density function to a beta frequency distribution?
probability density distribution
The total area of a normal probability distribution is?
The total area of any probability distribution is 1
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 are the Similarities of discrete probability distribution and continuous probability distribution?
They are probability distributions!
Is normal distribution also a probability distribution?
Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.
Is normal distribution a discrete probability?
No. Normal distribution is a continuous probability.
True or False A sampling distribution is a probability distribution for a statistic?
The statement is true that a sampling distribution is a probability distribution for a statistic.
How to find Median of probability distribution?
how do i find the median of a continuous probability distribution
Why if a probability distribution curve is bell shaped why is this a normal distribution?
A bell shaped probability distribution curve is NOT necessarily a normal distribution.
What the difference between a probability distribution and a probability function?
None. The full name is the Probability Distribution Function (pdf).
Explain probability distribution?
The probability distribution of an experiment is a function that maps the probability of each possible outcome of the experiment to that outcome.
What the difference and relationship between a probability distribution and a probability function?
They are the same. The full name is the Probability Distribution Function (pdf).
Distinguish between binomial distribution and normal distribution?
Normal distribution is the continuous probability distribution defined by the probability density function. While the binomial distribution is discrete.
What is the purpose of probability distribution?
A probability distribution links the probability of an outcome in a statistical experiment with the chances of it happening. Probability distributions are often used in statistical analysis.
How do you convert a beta probability density function to a beta frequency distribution?
probability density distribution
