Question

In: Statistics and Probability

Which one is the correct one? Choose all applied. a. It has only values more than...

Which one is the correct one? Choose all applied.

	a.	It has only values more than 5.
	b.	Mean of Chi Square distribution with 5 degrees of freedom is 5
	c.	It is symmetric around 5.
	d.	Variance of Chi Square distribution with 5 degrees of freedom is 10

Expert Solution

We have to decide which are the correct statements about Chi Square 5 distribution, which is denoted by

distribution.

Statement (a)

We know that if a random variable follows chi squared distribution with degrees of freedom 5, then its support is given by the interval

So, the fact that it only has values more than 5, is FALSE.

Statement (b)

We know that, for a chi squared distribution with degrees of freedom n, the mean is k.

So, the fact that mean of chi squared distribution with degrees of freedom 5, is 5, is TRUE.

Statement (c)

Given that it is symmetric around 5.

But, we know that a chi squared distribution is non symmetric; let alone around its mean.

So, the statement is FALSE.

Statement (d)

We know that, for a chi squared distribution with degrees of freedom n, the variance is 2k.

So, the fact that variance of chi squared distribution with degrees of freedom 5, is 10, is TRUE.

The correct statements therefore are

(b) Mean of Chi Square distribution with 5 degrees of freedom is 5

(d) Variance of Chi Square distribution with 5 degrees of freedom is 10

orchestra answered 2 years ago

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