Lecture 2 Binomial Distribution

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Last updated 4:17 PM on 6/4/26
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5 Terms

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Factorials examples

1!= 1=1

2! = 2×1=2

3!= 3×2×1=6

4!= 4×3×2×1=24

The formula is n!= n*(n-1)*(n-2)*(n-3)…

Note that 0!=1

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Dividing factorials

They can cancel to make easier

<p>They can cancel to make easier </p>
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Equation for working out combinations

where n = number of sets

x = no of objects

You then get the number of objects and have the number of sets as the exponential of it

Then divide what you get from the factorial equation and the number of object with exponential as no of sets

<p>where n = number of sets</p><p>x = no of objects</p><p>You then get the number of objects and have the number of sets as the exponential of it</p><p>Then divide what you get from the factorial equation and the number of object with exponential as no of sets</p>
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Probability function of binomial distribution (alternate of using factorial equation)

Experiment with only 2 subjects

<p>Experiment with only 2 subjects</p>
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Mean and variance for a binomial distribution

Mean = nP

Variance = nP(1-P)

Where n = number of trials and P= the probability of successful, probailities usually found in statistical tables