Statistical Estimates (the Number That Term Paper

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Probability estimate

(a) P (Used a nicorette) = 169/317 ? 0.533

(b) P (Used a nicorette or Mouth/sore throat) =

P (Used a nicorette) + P (Mouth/sore throat) - P (Used nicorette and Mouth/sore throat)

= [(169/317)] + [(169/317) x (49/169) + (148/317) x (30/148)] - [(169/317) x (49/169)]

= [(169/317)] + [(79/317)] - [(49/317)]

0.628

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, to determine the number of ways to select 5 work-from-home days in a 10 day contract job, we have r = 5 and n = 10.

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