8 Flashcards

1
Q

What does the probability distribution tell you? 3•

A

•sample space
•method for computing probabilities
•How the random variable behaves

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2
Q

Skewed distribution?

A

When there is a lump in one side of the distribution and then the tail flattens out in the other side. If its right skewed, then the tail levels off in the right.

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3
Q

If random variable X has a standard normal distribution, then X^2 will have a chi-square distribution with?

A

1 df

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4
Q

The sum of two independent chi^2 random variables, then the df is the total of?

A

Sum of Individual degrees of freedom. X^2_r + X^2_s = new X^2_df=r+s

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5
Q

What is the big relevance or meaning of chi-squared distribution?

A

A continuous random variable near the mean of 0 happens way more often than moving away from 0 towards the tail.

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6
Q

Chi-square starts at a random variable of?

A

0

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7
Q

sample space for a random variable in F distribution consists of only?

A

Positive values

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8
Q

A random variable with F distribution ins an example of a what skewed distribution?

A

Right skewed distribution

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9
Q

The quotient of two independent chi^2 random variables produces a random variable with an F distribution. The degrees of freedom from the numerator is ____ and denominator is _____?

A

d_1, d_2

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