Question

13. A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions. Sex Republicans Democrats No Opinion Male 205 350 39 Female 185 190 The pollster then randomly selected one adult from these 1,000 adults. The probability that the selected adult is a male is: (round your answer to three decimal places) B) DUE 12/10/19 The probability that the selected adult says Democrats have better domestic economic policies is: (round your answer to three decimal places) C) The probability that the selected adult is a female given that she thinks that Republicans have better domestic economic policies is approximately (round your answer to three decimal places): D) The probability that the selected adult has no opinion given that he is a male is approximately (round your answer to three decimal places): Which of the following pairs of events are mutually exclusive? (select all that apply) A) Female and democrat D) Democrat and no opinion B) Female and male E) Male and republican C) Female and republican F) Male and no opinion F) Are the events "Democrat" and "Female" independent or dependent? Detail the calculations you performed to determine this, 1. P(Democrat) = II. P(Female) = ili. P(Democrat | Female) = iv. P(Female Democrat) = The joint probability (rounded to three decimal places) of events "Republicans" and "Male" H) The probability (rounded to three decimal places) that a randomly selected adult from these 1,000 adults is a female and holds the opinion that Democrats have better domestic policies 1) The joint probability (rounded to three decimal places) of events "Male" and "No Opinion" is:

Just need e-i nothing else

Answer 1

0 . Number of male = 206+350 +39 2594 Number of female = 185 +190+31 = 406 P(male) = 594 = 0.894 1000 P(Female) = 406 = 0.406 1000 Pl Republican) = 205 +185 = 390=600-39 1000 1000 Pl Democyat) = 360+190 540 -0.54 1000 000 plno ognion) = 39+31 = 70 = 0.07 1000 1000 Sex Republicon Drocrals ND opinion Imale 205 / 350 39 female 185 / 190 [31 ] mulually exclusive events are those events that both connot mutually, exclusive Out at the same time. Let A & B be two events. then. (PlauB)=P(A) =P (B) flow is female and Democrat Pl Temale U Democrat) = 156 = 0.156 #1 Female) + P (Democrat) 1000 There are not mutually exchwive events (1) female and male P(Female Umale) t = f(Female) +(male) mutually exclusively events

(6) Female & Republi.com Plferrale u Republicon) = 611 = 0.611 + Premie) + PC Republicom) 1000 Alot mutually exclusive events (d) Demo chat and no-opinion P(Democrat uno opnion) = 610 = 0.610 = f(Demoohad) + Plno-opinion) mutually exclusive event 1000 le) male and Hepublicom Pl Male u stopublicon) = 719 = 0.779 7 Plmale) +PC Republi.com) TODO Not mutually er hesive events ( male and no-opinion PlMale Uno-opinion) = 625 = 0.625 + f(male) + P(no-opinion) 1000 Not mutually excluive events (5) PlDemocrat) = 0.540 (1) p (Female) = 0.406 (HD PC Democrat| fernale) = P(Democrat o fernale) P(Female) =0-190 0.406 HAL Bare independence = 0.468 € P(Democrat) fans) - PLAJA PLE) (iu) P(Female Democrat) = P(femalen Democrat! P (Democrat) = 0-190 0.540 = 0.352 + Pl Female] Pfernalen Demood) # PC Female P(Demonad . These events are not independent events

@ Pl Republican n male) = 205 = 0.205 1000 (H) P(female o Democrats) = 190 = 0.1go 1000 ED) Plmale n No opinion) = 39 = 0.039 1000