Flashcards in Statistics - Test 3 Deck (8)

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## continuous random variable

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assumes any value in one or more intervals

- weight, length of room

1

## discrete random variable

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assumes countable values in an interval and nothing in between

- # of pets, # of cars

2

## characteristics of normal distribution

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1. total area under the curve is 1

2. curve is symmetric about the mean

3. the two tails of the mean extend indefinitely

3

## parameters of the normal distribution

### mean (μ) & standard deviation (σ)

4

## z-score

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- units marked on the horizontal axis of the standard normal curve

- denoted by z

- specific value of z gives the distance between the mean and the point z in terms of standard deviation

5

## properties of discrete random variables

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1. 0 <_ 1 for each x

2. ΣP(x) sum of all probabilities is 1

6

## properties of continuous random variables

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1. the probability that x assumes a value in any interval is between 0 and 1

2. the total probability of all intervals is 1

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