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No. The Student's t-distribution, for example, is also bell shaped.

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โˆ™ 2012-12-11 17:23:40
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: If a probability distribution curve is bell-shaped then this is a normal distribution?
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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 does area have to do with probability?

A normalized probability distribution curve has an area under the curve of 1.Note: I said "normalized", not "normal". Do not confuse the terms.

What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?

The normal distribution, also known as the Gaussian distribution, has a familiar "bell curve" shape and approximates many different naturally occurring distributions over real numbers.

Is in the normal distribution the total area beneath the curve represent the probability for all possible outcomes for a given event?

Yes. The total area under any probability distribution curve is always the probability of all possible outcomes - which is 1.

Normal curve is the meaning of standard normal distribution?

No, the normal curve is not the meaning of the Normal distribution: it is one way of representing it.

What percentage of normally distributed scores lie under the normal curve?

100%. And that is true for any probability distribution.

What is the difference between a probability density curve and cummulative distribution function?

what is density curve

What is the area under a curve with mu equals 15 and sigma equals 2?

If the question is to do with a probability distribution curve, the answer is ONE - whatever the values of mu and sigma. The area under the curve of any probability distribution curve is 1.

Define a normal random variable?

I have included two links. A normal random variable is a random variable whose associated probability distribution is the normal probability distribution. By definition, a random variable has to have an associated distribution. The normal distribution (probability density function) is defined by a mathematical formula with a mean and standard deviation as parameters. The normal distribution is ofter called a bell-shaped curve, because of its symmetrical shape. It is not the only symmetrical distribution. The two links should provide more information beyond this simple definition.

How is probability related to the area under the normal curve?

The Normal curve is a graph of the probability density function of the standard normal distribution and, as is the case with any continuous random variable (RV), the probability that the RV takes a value in a given range is given by the integral of the function between the two limits. In other words, it is the area under the curve between those two values.

If the tails of the normal distribution curve are infinitely long. Is it True or False that the total area under the curve is also infinite?

False. A normalized distribution curve (do not confuse normalized with normal), by definition, has an area under the curve of exactly 1. That is because the probability of all possible events is also always exactly 1. The shape of the curve does not matter.

Are these true of normal probability distribution IIt is symmetric about the mean TTotal area under the normal distribution curve is equal to 1 DDistribution is totally described by two quantities?

Yes, it is true; and the 2 quantities that describe a normal distribution are mean and standard deviation.

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