'Discrete rv' presentation slideshows

Statistical Theory; Why is the Gaussian Distribution so popular?

Statistical Theory; Why is the Gaussian Distribution so popular?. Rob Nicholls MRC LMB Statistics Course 2014. Contents. Continuous Random Variables Expectation and Variance Moments The Law of Large Numbers (LLN) The Central Limit Theorem (CLT).

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Expected values of discrete Random Variables

Expected values of discrete Random Variables. Definition of Discrete RV (Review). The function that maps S into S X in R and which is denoted by X (.) is called a random variable .

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Statistical Distributions

Statistical Distributions. Uniform Distribution. A R.V. is uniformly distributed on the interval (a,b) if it probability function Fully defined by (a,b) P(x) = 1/(b-a) for a <= x <= b = 0 otherwise. Uniform Distribution Probability Function. 1 1/9.

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Random Variables

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Section 5.1

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Continuous Random Variable (1)

Continuous Random Variable (1). Section 3.1-3.3. Continuous Random Variable. What is the probability that X is equal to x ?. CDF for a Discrete Random Variables. Question: Is there a CDF for a continuous random variable if a PMF can not be identified for a continuous random variable?.

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Means and Variances of RV

Means and Variances of RV. 7.2. Example. Find the expected value, or mean, of the probability distribution above:. Mean of a Discrete RV. Also called the expected value, what we would expect if we took many trials Suppose X is a discrete RV whose distribution is:

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Ch3.1-3.2

Ch3.1-3.2. For a given sample space S of some experiment, a random variable is any rule that associates a number with each outcome in S . Any random variable whose only possible values are 0 and 1 is called a Bernoulli random variable.

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