manufactured by this company is not defective is: 181 Use the following to answe

Question

manufactured by this company is not defective is: 181 Use the following to answer questions 20-28 domestic economic A pollster asked 1000 adults whether Republicans or Democrats have better policies. The following table gives the two-way classification of there opi nions. Sex Male Female Republicans 209 Demoerats 322 218 No Opinion 32 38 181 The pollster then randomly selected one adult from these 1,000 adults. 20. The probability that the selected adult is a male is: (round your answer to three decimal places) 21·The probability that the selected adult says Democrats have better domestic economic policies is: (round your answer to three decimal places) 22. The probability that the selected adult is a female given that she thinks that Republicans have better domestic economic policies is approximately (round your decimal places): answer to three 23. The probability that the selected adult has no opinion given that he is a male is approximately (round your answer to three decimal places): 24·The joint probability (rounded to three decimal places) of events "Republicans" and "Male" is: Page 4

Explanation / Answer

Given

(20) The probability that the selected adult is male

Ans: 563/1000

        =0.563

The probability that the selected adult is male is 0.563

(21)The probability that the selected adult says Democrats have better domestic economic policies

Ans:   540/1000

        =0.54

     The probability that the selected adult says Democrats have better domestic economic policies is 0.54

(22)The probability that the selected adult is a female given that she thinks that repiblicans have better domestic economic policies is approximately

Ans: 181/390

         =0.464

The probability that the selected adult is a female given that she thinks that repiblicans have better domestic economic policies is approximately is 0.464

(23) The probability that the slected adult has no opinion given that he is a male is approximately

Ans: 32/563

      =0.056

     The probability that the slected adult has no opinion given that he is a male is approximately is 0.056

Sex Republicans Democrates No opinion total Male 209 322 32 563 Female 181 218 38 437 total 390 540 70 1000

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