Question

3. In a particular town 40% of people plan to vote in the next election of the eligible voters. In that same town 55% of the population is over 30 years of age, of the eligible voters. Of the eligible voters, the percentage of people that are over 30 years of age and plan to vote is 32%. a. [3] An eligible voter from this town this town is chosen at random. What is the probability that the person is over 30 years of age and does not plant to vote? P (30+ and not vote) = P1.55 x P(.68) - 0.374 b. [3] What is the probability that an eligible voter in this town is over 30 years or plans to vote? P (30+ + OD vote) P(.55) P(.32) 0.87 4. (3) You are going to toss a fair coin four times. What is the probability that all four times the coin lands on heads? 50 +.50 x 50 x 50 0.0625

Answer 1

solution: Let = people out of eligible voters who plans to vote. A = people out of eligible voters who are over 30 years of age. Given that p(x)=0-40, P(A) = 0.55 and P(Anv)=0.32 P (ve) = Since IPIND 0.60. A and we are two independent events. -, Planv) P(A2P(VO) -0.55*0060 20:33 (Aus. P(AUV) - PIAZE PIV) - PIANV) 0.55 +0.40 -0.32 = 0.63 (Aus) (6) we have total of 24216 elements in the event space. out of unich only one event namely ( 144HH) is the favourable event. probability = 1/2 20.0625 (Aus)