The probability then randomly The probability that the adult is a is: a. .400 b.

Question

The probability then randomly The probability that the adult is a is: a. .400 b. .550 c. .600 d. .450 The probability that the selected says. have is: a. .380 b. .540 c. .070 d. .400 The probability that the selected adult is a female given that she thinks that R have better domestic economic policies is approximately: a. .579 b. .382 c. .686 d. .436 The probability that the selected adult has no opinion given that he is a male is approximately: a. .067 b. .375 c. .067 d. .0.75 Events "Republican" and "No opinion" are: a. conditional events b. mutually nonexclusive events c. subjective events d. mutually exclusive events Which of the following events are mutually exclusive? a. Male and no opinion b. Female and Democrats c. Democrats and no opinion d. Republican and male Which of the following events are mutually nonexclusive? a. No opinion and male b. Female and male c. Democrats and Republicans d. No opinion and Republicans

Explanation / Answer

The Given Table with total values

(a) Selected adult is Male. Probability = 600/1000 = 0.600 (option C)

(b) Pr (Democrate favour ) = (340 + 200)/1000 = 0.540 (option b)

(c) Pr (Female l Republican Favour) = 170/ (170 + 220) = 0.436 (option D)

(d) Pr(No optinion l Male) = 40/ 600 = 0.067

(e) Events republican and no opinion are mutually exclusive events as both cannot occur simultaneously.

(f) Democrats and No opinion events are mutually exclusive as both cannot occur simultaneously.

(g) "No opinion" and "Male" are mutually non exclusive events as both can occur simultaneously.

Sex Republicans Democrats No opinion Total Male 220 340 40 600 Female 170 200 30 400 Total 390 540 70 1000

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