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QUESTION 2 4.5 points Brain tumors in children are rare: the base rate is only about 1/10,000. A child with a tumor is very likely to have occasional headaches: 99 out of 100 do. But there are many other reasons a child can have a headache: of those who do not have a tumor, 1 in 10 have occasional headaches. 1. Given that a child has occasional headaches (H), what it the probability that he or she has a brain tumor (T)? Show your work. 2 points. 2. Name a behavioral bias that may occur when estimating the probability that your child has a brain tumor. Would this bias lead to under-or-overestimate that probability? Explain. 1 point. 3. Among children with headaches (H), 999/1000 will ultimately be fine (F). Suppose that a physician using a simple test can correctly determine whether the child is fine or not in 95/100 of children with headaches. Given that the doctor after performing the test gives the patient a green light (G), what is the probability that the child really will be fine? Show your work. 1,5 points. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). TTT Arial V 3 (12pt) T REC