Senators: Suppose the following are data for the 100 Senators from the Congress

Question

Senators: Suppose the following are data for the 100 Senators from the Congress of the United States.

Find the requested probabilities. Round your answers to 3 significant digits*.

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*Significant Digits: Here are some probabilities expressed to 3 significant digits. You start counting digits from left to right starting with the first non-zero digit.

0.123      0.0123      0.0120      0.00123      0.102      0.350      0.300

  Republican     Democrat     Independent    Male      42 40 2 Female      6 10 0

Explanation / Answer

a) P(male republican and male republican) =(42/100)*(41/99)=0.174

b)P(democrat and republican) =(50/100)*(48/99)=0.242

c)P(female democrat and female democrat) =(10/100)*(9/99)=0.009

d)P(female and male) =(16/100)*(84/99)=0.136

  Republican     Democrat     Independent    Total Male      42 40 2 84 Female      6 10 0 16 Total 48 50 2 100

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