A pollster asked 1007 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of their opinions.(Data are randomly generated) Male Female Republicans Democrats No Opinion 224 339 39 171 205 29 The pollster randomly selects an adult from these 1007 adults. Let p₁ be the probability that the adult is a male, p2 the probability that the adult is a female or has no opinion, p3 the probability tha the adult thinks that Democrats have better domestic economic policies knowing that the adult is a female, and P4 the probability that the adult is a female ans thinks that Democrats have better domestic economic policies. Then the P₁, P2, P3, and P4 are, respectively, (Choose one from the following which is closest to the correct answer.) O b. 0.4022, 0.4697, 0.5062, 0.2036. O e. 0.5978, 0.4409, 0.5062, 0.2173. O c. 0.5978, 0.4409, 0.5062, 0.2036. O d. 0.5978, 0.4409, 0.2036, 0.5062. O a. 0.5978, 0.4409, 0.2173, 0.2036.

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A pollster asked 1007 adults whether Republicans or Democrats have better domestic economic
policies. The following table gives the two-way classification of their opinions.(Data are randomly
generated)
Male
Female
Republicans Democrats No Opinion
224
339
39
171
205
29
The pollster randomly selects an adult from these 1007 adults. Let p₁ be the probability that the
adult is a male, p2 the probability that the adult is a female or has no opinion, P3 the probability that
the adult thinks that Democrats have better domestic economic policies knowing that the adult is a
female, and p4 the probability that the adult is a female ans thinks that Democrats have better
domestic economic policies. Then the P₁, P2, P3, and p4 are, respectively, (Choose one from the
following which is closest to the correct answer.)
O b. 0.4022, 0.4697, 0.5062, 0.2036.
O e. 0.5978, 0.4409, 0.5062, 0.2173.
O c. 0.5978, 0.4409, 0.5062, 0.2036.
O d. 0.5978, 0.4409, 0.2036, 0.5062.
a. 0.5978, 0.4409, 0.2173, 0.2036.
Transcribed Image Text:A pollster asked 1007 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of their opinions.(Data are randomly generated) Male Female Republicans Democrats No Opinion 224 339 39 171 205 29 The pollster randomly selects an adult from these 1007 adults. Let p₁ be the probability that the adult is a male, p2 the probability that the adult is a female or has no opinion, P3 the probability that the adult thinks that Democrats have better domestic economic policies knowing that the adult is a female, and p4 the probability that the adult is a female ans thinks that Democrats have better domestic economic policies. Then the P₁, P2, P3, and p4 are, respectively, (Choose one from the following which is closest to the correct answer.) O b. 0.4022, 0.4697, 0.5062, 0.2036. O e. 0.5978, 0.4409, 0.5062, 0.2173. O c. 0.5978, 0.4409, 0.5062, 0.2036. O d. 0.5978, 0.4409, 0.2036, 0.5062. a. 0.5978, 0.4409, 0.2173, 0.2036.
Expert Solution
Step 1: Write down the given information

Republicans Democratsno opinion Total 
Male 22433939602
Female 17120529405
Total 395
544
681007

we have to calculate mentioned Probabilities 

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