Class VIdeo 8 Notes - Variables - Edubirdie

University:
McMaster University
Course:
STATS 1LL3 | Introduction to Probability and Statistics
Academic year:

2023
Views:

92

Pages:

2
Author:

Sabrina S.

Video 8: Random Variable Random variable: In the example of rolling a dice, X is the number of dots on the upturned face. Discrete random variables: The set of possible values for a discrete random variable is either finite or countably infinite. Probability density function (PDF): For continuous random variables, the PDF is a function such that the area under its curve between two values c and d represents the probability that the variable lies between c and d. Probability: Pr(c ≤ x ≤ d) = ∫[c, d] f(x) dx Probability Mass Function (PMF) Defined for all values of x but non-zero at a finite (or countably infinite) subset of these values. 0 ≤ p(x) ≤ 1 for all values of x. ∑ p(x) = 1 for all values of x. Probability Density Function (PDF) Defined for all values of x. 0 ≤ f(x) ≤ ∞ for all values of x. ∫[∞, ∞] f(x) dx = 1 for all values of x.

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