Question 26 (2 points) The incidence of breast cancer varies depending on a woman's age. The National Cancer Institute gives the following probabilities for a randomly chosen woman in her 40s who takes a mammography to screen for breast cancer: 0.8 / Poytrve Cancer 0 0% \\' Negative \"k / Positive No cancer '53:\";- Negative If a randomly chosen woman in her 405 taking the mammography screening test gets a positive test result, the probability that she indeed has breast cancer is the positive predicted value, PPV = PiCancer | Positive test). What is the PPV for this age group? O 0.012 O 0.103 O 0.500 O 0.300 Question 27 (1 poi nt) According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or younger have a food allergy. A day care program has capacity for 8 children in that age range. Assume that the children attending the day care program are independent. Let the random variable X be the number of children in this day care who have a food allergy. What is the probability that one of the eight children has a food allergy? 0 0.8965 0 0.3370 0 0.1250 0 0.0700