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**preview**shows half of the first page. to view the full**3 pages of the document.**Random variables and Probability distributions

Notation: P(a)= chances that ‘a’ will occur

Probability of event: #of feasible outcomes/#of total outcomes

Probability of event: f/n

*f=frequency observed in past

**n=total number of experiments

Probability by intuition…

Law of large numbers: As a sample grows in size, the relative frequency of outcome becomes

closer to the actual probability

Notation: P(ac)= probability it won’t happen

= 1-P(a)

x – random variable

Discrete random variable: x can only take specific values

Continuous random variable: x can take any value in an interval

Probability distribution

P(x) is the probability that x will occur

Ex: Number of bedrooms in a community

1 bedroom = 10

2 bedroom = 18

3 bedroom = 15

4 bedroom = 8

5 bedroom = 4 .

55

P(1) = 10/55

P(2) = 18/55

P(3) = 15/55

P(4) = 8/55

P(5) = 4/55

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