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Unformatted text preview: X is equally likely to be each of the integers a,. ..,b . Then we say that X has a uniform distribution on the integers [ a,b ]. • binomial A binomial random variable is a sum of Bernoulli random variables. • continuous A random variable X is continuous if there exists a nonnegative function f , deﬁned on the real line, such that for every interval of real numbers, the probability that X takes a value in the interval is the integral of f over the interval. For example: P ( a ≤ X ≤ b ) = Z b a f ( x ) dx • probability density function If X has a continuous distribution, the function f described above is called the probability density function (pdf). • cumulative distribution function The cumulative distribution function (cdf) of a random variable is the function: F ( x ) = P ( X ≤ x )...
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This note was uploaded on 02/17/2012 for the course MATH 151 taught by Professor Jo.h during the Spring '10 term at Pomona College.
- Spring '10