Question

PROBLEM # PAGE1 Forty percent of a group of people are female and sixty democrats and 48% of males are democrats. A person is randomly selected from the group. (A) [10 points) What is the probability that the selected person is a democrat? (B) (10 points] If the person selected is found to be a democrat, what is the probability that this person is male? (C) (10 points) What is the probability that the person selected is a female democrat?

Answer 1

Demoli63. l . k (de) + P (Democrats green male) where stepenil domov.co F . fonale 11 HEPA ale منها | استلامها و لم PIONE) P (F) P ol for green fanale I (0.4) 10.62) PUFS 50 Sillaelyn p u fa fim male (0.6) 10.48) [Ploom): 0.288]

NUR PIDJ Pro) = o.248 + 0.536). o.288 SUU a Thus, there is beeded perc probability of o.s36 sa deal That The b. Using Conditional Russability Condithanal brobability of a given that B has to happened is given by : Pla = P(ARB) where PCB) > a. B) PCBS - person In our case, it is found that selected is demolato formula becomes ID POD 0.536 PM - 0-5373 Thus, there is probability of 0.5373 of that the selected person is cale fuahe quen dem

s. Premale Democrat) = planos - which is calculated above. - P(1) P PIERD) = 0.248 ur of person Thus, there is probability of o selected being female domat.

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