Question

Question 2: On the eve before the 2019 federal election: • Conservatives polled to have 33% of popular vote • Liberals had 31% of pop. vote • one polling station expected to receive 50 votes per hour Please use at least five digits after the decimal point if rounding. a. Say you plan to ask 100 randomly selected Canadians if they are voting conservative. What is the probability that at least 40 will say yes? [1 mark] Answer b. A ballot box is known to have 330 Liberal votes, 352 Conservative, and 318 votes for "others". If you count 15 votes from this box what is the probability between 5 & 12 (inclusive) of them are for Liberals? [1 mark] Answer c. A polling station worker is at their station from 7:30am to 7:30pm (12 hours). What is the probability that they served 650 voters during their shift? [1 mark] Answer d. What is the probability that the 12th vote cast is the 4th Conservative vote cast? [1 mark] Answer

Answer 1

Ca Padb that at least 40 Sa P (x24) 1- P(xs 39)Po.33 "Eo y ao-2 39 100 c,* D.33(1-0:33) - 1- o.q1S1 29 64S5 = o. o 84 87 Cb) Pasb blu s$12 indlute them abe liberals P-031 1 P(5xsu)- P (xs)- P(x5) P(x 12) P(x5 IS- 0-31(1-0.31) 11 15- XEo 5 I .311-0.31) 0.999986986- 0.69 16430S306 O. 30 834393 = o. 30834 A CC use PoiSon dusibutio hau fer A 50 wotes 50 X12 = 600 ^Votes A -A A e P (X=650 600 J 600 O. O0206

(d) PAsb that the 12th wete cost i the 4 conteruattne ote Cast P o.33 or n12 (1- 0.33) 0. 33 h-ri (x-u) = 12 C4* 0331 O. 33+