1. A questionnaire asks shareholders of a company to state whether they consider the chairman's salary to be too high, about right, or too low. Excluding shareholders who have no opinion, the probabilities of answers from randomly selected shareholders are as follows: Too High 0.82 About Right 0.12 Too Low 0.05 What are the probabilities that if three shareholders are selected at random; a. They will all answer 'too high" b. Exactly two will answer 'too high' c. Exactly two will give the same answer 2. A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom is left-handed. The two pupils are to be chosen at random from the class to act as monitors. Calculate the probabilities that the chosen pupils will consist of a. One girl and One boy b. One girl who is left-handed and one boy who is left-handed c. Two left-handed pupils 3. A group of randomly selected adults were asked if they are in favor of or against cloning. The following table gives the responses: In favor Against No opinion Male 470 120 Female 165 515 80 a. What is the most likely outcome? b. One person is selected at random from these adults. Find thee probability that this person 15: (1) In favor of cloning (ii) Male and Female against cloning (iii) In favor of cloning given that the person is female