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19 Cards in this Set
- Front
- Back
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How to work out E(x) from a continuous random variable |
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How to work out E(x^2) for a continuous random variable? |
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How to work out Var(x) for a continuous random variable |
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How do you find the median from a continuous random variable? |
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How to find mode of continuous random variable |
Or if the graph is not a curve just look for the highest point |
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How to find F(x) if you have f(x) |
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If X is a continuous random variable with probability density function f(x) over the range a<x<b then P(X>d) = |
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With a binomial distribution X~B(n,p) with n being the number of trials and p being the probability of success with is E(X) |
E(X) = np |
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With binomial distribution X~B(n,p) how do you find σ^2 / Var(x) |
Var(x) = npq where q=(1-p) |
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How to find standard deviation |
Squrt(σ^2) or squrt(var(x)) because standard deviation is the square root of variance |
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How to find the mean of continuous uniform distribution X~U[a,b] |
E(X) is the value in the middle so its 1/2(a+b) |
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How to find var(x) with continuous uniform distribution X~U[a,b] |
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How to get F(x) when you have f(x) with continuous uniform distribution X~U[a,b] |
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How to find k with continuous uniform distribution X~U[a,b] |
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How to find p(y<X<z) e.g P(2.3<x<3.4) For a continuous uniform distribution of X~U[a,b] |
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How to define a poisson distribution |
If an event occurs at random in time or space and has a mean number of occurrences λ in a given interval of time or space and if X is the r.v. 'the number of occurrences in the given interval' then X~Po(λ) |
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When to approximate Binomial to poisson |
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When to approximate binomial to normal |
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How to find the z value in normal distribution |
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