At a movie theater several people were randomly selected in survey about the length of the movie they just watched. The results are shown in the table. Would have preferred the movie to be shorter 36 thought the movie was a good length , 42 would have preferred the movie to be longer 22 based on the data in the table. What is the experimental probability that the next person surveyed at the movie theater would have preferred the movie to be shorter.
To calculate the experimental probability that the next person surveyed would have preferred the movie to be shorter, we need to find the ratio of the number of people who preferred the movie to be shorter to the total number of people surveyed.
From the table, we see that 36 people would have preferred the movie to be shorter. The total number of people surveyed is 36 + 42 + 22 = 100.
Therefore, the experimental probability that the next person surveyed would have preferred the movie to be shorter is:
P(shorter) = Number of people who preferred the movie to be shorter / Total number of people surveyed
P(shorter) = 36 / 100
P(shorter) = 0.36
So, the experimental probability that the next person surveyed at the movie theater would have preferred the movie to be shorter is 0.36 or 36%.