Refer to Exercise 6.116, but now suppose that two viewers are randomly selected (without replacement). Let R₁ and R₂ denote the events that the first and second individuals, respectively, watched an R-rated movie. Are R₁ and R₂ independent events? Explain. From a practical point of view, can these events be regarded as independent? Explain.

Exercise 6.116

A theater complex is currently showing four R-rated movies, three PG-13 movies, two PG movies, and one G movie. The following table gives the number of people at the first showing of each movie on a certain Saturday:

Transcribed Image Text:

Number of Theater Rating Viewers R 600 2 PG-13 420 3 PG-13 323 4 R 196 5 G 254 PG 179 PG-13 114 R 205 R 139 10 PG 87