1. A study of a population of aging women ( 65 years) in a European country have identified that 65% of women have normal bone mineral density (BMD, defined as a standardized bone mineral density score > -1.0), 25% have osteopenia (defined as a standardized bone mineral density score between -2.5 & -1.0), and 10% have osteoporosis (defined as a standardized bone mineral density score < -2.5).For a randomly selected woman, are the bone health states (normal, osteopenia, osteoporosis) independent events? Mutually exclusive events? Why or why not?