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Lecture

MATH 1P98: Random Variables and Probability Distribution

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Department
Mathematics
Course
MATH 1P98
Professor
Dot Miners
Semester
Fall

Description
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(a )= 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 P(1) = 10/55 2 bedroom = 18 P(2) = 18/55 3 bedroom = 15 P(3) = 15/55 4 bedroom = 8 P(4) = 8/55 5 bedroom = 4 . P(5) = 4/55 55 P(4 or 5) = P(4)+P(5) = 0.146+0.073 = 0.219 P(>1) = 1-P(1) = 1-0.182 = 0.818 P(<3) = P
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