Question

According to the British United Provident Association, a major health care provider in the U.K., snoring can be an indication of sleep apnea which can cause chronic illness if left untreated. In the 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 and snorers.

A. What is the probability of snoring?

B. What percent of the respondent were 30 or younger and did not snore?

Answer 1

a) P(snoring) = 0.368

b) P(over age of 30 or snorers) = P(over age of 30) + P(snorers) - P(over age of 30 and snorers)

                                                  = 0.815 + 0.368 - 0.32

                                                  = 0.863

P(30 or younger and did not score) = 1 - P(over age of 30 or snorers)

                                                         = 1 - 0.863

                                                         = 0.137