The table to the right summarizes 379 films from a certain year that have been c

Question

The table to the right summarizes 379 films from a certain year that have been classified into a genre and have a rating. Complete parts a) through d) below. a) What percentage of these films were rated R? % (Round to one decimal place as needed.) b) What percentage of these films were R-rated comedies? % (Round to one decimal place as needed.) c) What percentage of R-rated films were comedies? % Round to one decimal place as needed.) d) What percentage of comedies were rated R? % (Round to one decimal place as needed.)

Explanation / Answer

# - denotes number of cases

a) p(r rated films)=#r-rated films/#total cases=178/379=0.46

b) p(r-rated commedies)=#r-rated and comedy/#total cases=40/379=0.105

c) p(comedy| given its r-rated)=#r-rated and comedy/#r-rated films=40/178=0.22

d) p(r-rated|(given its a) comedy)=#r-rated and comedy/#comedy=40/105=0.34=8

probabilities are calculated for percentages multiply them by 100

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