3. (6 PTS) The probability of having a child with albinism when both parents are carriers of the albinism gene is one in four. 3a) (3 PTS) If a couple has four children and both parents are carriers of the albinism gene, what is the probability that exactly one of their children is albino? 3b) (3 PTS) Suppose a sample of 200 children are selected. Assume both parents are carriers of the albinism gene for all the selected children. What is the probability that more than 65 of these children are albino? Would you consider this an unusual event? 4. (3 PTS) A new diagnostic test was created to check the diabetic status of individuals with a high risk of diabetes. A sample of 500 patients were selected and the results are shown below: 17 4a) (1 PT) Find the probability of having a positive test result and no diabetes. 4a) ANSWER: 4b) (1 PT) Find the positive predictive value and interpret the result. 4b) ANSWER: 4c) (1 PT) Find the specificity of the new diagnostic test and interpret the result