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S6.1 - Discrete Random Variables
Discrete Random Variables
12
Mathematics
Graduate
11/05/2013

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Term
Random variable
Definition
A numerical measure of the outcome of a probability experiment
Term
X
Definition
Random variable
Term
x
Definition
Possible values of the random variable
Term
Discrete random variable
Definition
Has either a finite or countable number of values
Term
Continuous random variable
Definition
Has infinitely many values
Term
Probability distribution of a discrete random variable X
Definition
The possible values of the random variable and their corresponding probabilities
Term
2 rules for a discrete probability distribution
Definition
P(x) denotes the probability that the random variable X equals x
1. Summation P(x) = 1
2. 0<= P(x) <= 1
Term
Probability histogram
Definition
A histogram in which the horizontal axis corresponds to the value of the random variable and the vertical axis represents the probability of each value of the random variable
Term
Mean of discrete random variable, mewx =
Definition
Summation[(x)P(x)]
Term
xbar =
Definition
Summation xn/n
Term
Expected value
Definition
The mean of a random variable that represents what to expect to happen in the long-run
Term
Variance of discrete random variable, sigmaX^2 =
Definition
Summation[(x-mewx)^2 x P(x)] = Summation[(x^2)(P(x))] - mewx^2
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