7. The incidence of new cases of breast cancer in women varies by ancestry. New cases per year per 100,000 women are 137.6 in the Non-Hispanic (NH) white population, 129.6 in the Non-Hispanic Black populations, and 99.9 in the Hispanic population (SEER data, 2022). A community of 10,000 women is comprised of 3?% NH white, 31% NH Black, and 32% Hispanic members. a. What is the probability that a healthy woman chosen at random from the community will be diagnosed with breast cancer in the next five years? b. What is the probability that between 10 and 15 new cases (inclusive) will be diagnosed in the next year