Question

\250 doctors from three countries in Europe meeting in a conference to decide whether to approve a new vaccine for the flu. Among these are 115 Germans, 65 French, and 70 Englishmen. We also know that, 75% of the Germans, 60% of the French and 65% of the Englishmen are in favor of using the new vaccine. (a) What is the probability that a randomly chosen doctor is in favor of the vaccine

Answer 1

0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine

Explanation:

(a) What is the probability that a randomly chosen doctor is in favor of the vaccine

75% of 115/250 = 0.46(German).

60% of 65/250 = 0.26(French).

65% of 70/250 = 0.28(Englishmen). So

`p = 0.75*0.46 + 0.6*0.26 + 0.65*0.28 = 0.683`

0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine