MAT 2379 Lecture Notes - Lecture 1: Biostatistics, Zygosity, Sample Space

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A function x : s r, that assigns real numbers to the outcomes in the sample space, is called a random variable. We denote random variables with capital letters x, y, z, etc. and their values with small letters x, y, z, etc. Examples of discrete random variables: the sex of a newborn human infant: the number of worker bees in a honeybee society; 3. The number of students enrolled in a graduate course; 4. The number of genes a in an o spring of two heterozygous individuals aa; The weight (or height) of an individual; 2. The blood pressure (or temperature) of a patient; 3. The weight gain of a woman during pregnancy. We will specify probabilities associated with the random variable with either: a probability mass function f where f (x) = p (x = x), a cumulative distribution function f where. F (x) = p (x x) = (cid:88) y x f (y).

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