6.45 The report “TV Drama/Comedy Viewers and Health Information” (www.cdc.gov/Healthmarketing) describes the results of a large survey involving approximately 3500 people that was conducted for the Center for Disease Control. The sample was selected in a way that the Center for Disease Control believed would result in a sample that was representative of adult Americans.

One question on the survey asked respondents if they had learned something new about a health issue or disease from a TV show in the previous 6 months.

Data from the survey was used to estimate the following probabilities, where L 5 event that a randomly selected adult American reports learning something new about a health issue or disease from a TV show in the previous 6 months and F 5 event that a randomly selected adult American is female PsLd 5 .58 PsL > Fd 5 .31 Assume that PsFd 5 .5. Are the events L and F independent events? Use probabilities to justify your answer.