According to the British United Provident Association, a majorhealth care provider in the U.K., snoring can be an indication ofsleep apnea which can cause chronic illness if left untreated. Inthe United States, the National Sleep foundation reports that 36.8%of the 995 adults they surveyed snored. Of the respondents, 81.5%were over the age of 30, and 32% were both over the age of 30 andsnorers.
a. Are the two events of being older than 30 and “did not snore,mutually exclusive? (prove mathematically)
b. Is snoring independent of age? Explain and provemathematically.