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Statistical Estimates the Number That Term Paper

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628 5. Evaluate Expressions

a) 9!/4! = (9 x 8 x 7 x 6 x 5 x 4!) / (4!)

= (9 x 8 x 7 x 6 x 5 x 4!) / (4!)

= 15120

b) (52-47)! = 5!

= 5 x 4 x 3 x 2 x 1

=120

6. Combinations vs. Permutations

Combination

Permutation

Number of ways to select 'r' items/objects from a given number of 'n' items

Number of ways to arrange 'r' items/objects from a given number 'n' items

The order of selecting items is not of interest but repetition is allowed

The order of items is of interest and also allows for repetition

Formula given as

Formula given as

For example,...

Since we're just interested in allocating a certain number for working from home, order is of no importance here.
For example, to determine the number ways of choosing a 5 day schedule for working from home, given the 10 day contract job, we have r = 5 and n = 10. In this case, we are interested in an arrangement of days, which means that order is of importance here. (e.g. choosing the 1st, 2nd, 6th,7th, and 9th days is just one of the ways to schedule).

7. Combination rule/formula

Number of ways to select 7 of 12 tax returns for an audit =

8. Probabilities

a) P (not blue)…

Sources used in this document:
Reference

1. Triola, M.F. (2011). Elementary Statistics (11th ed.): Addison-Wesley Longman

2. George W.S. And Cochran, W.G. (1989). Statistical Methods (8th ed.): Blackwell Publishing Professional.

3. Graham Upton, & Cook, Ian (1996). Understanding Statistics: Oxford University Press.
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