At a movie theater, several people were randomly selected and surveyed about the length of the movie they just watched. The results are shown in the table.
Results
Response Number
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 find the experimental probability that the next person surveyed would have preferred the movie to be shorter, we need to calculate the proportion of people in the sample who would have preferred the movie to be shorter.
Total number of people surveyed = 36 + 42 + 22 = 100
Number of people who would have preferred the movie to be shorter = 36
Experimental probability = Number of favorable outcomes / Total number of outcomes
Experimental probability = 36 / 100
Experimental probability = 0.36
Therefore, the experimental probability that the next person surveyed would have preferred the movie to be shorter is 0.36 or 36%.
put the answer in a fraction
To express the experimental probability as a fraction, we have:
Experimental probability = Number of people who would have preferred the movie to be shorter / Total number of people surveyed
Experimental probability = 36 / 100
Therefore, the experimental probability as a fraction is 36/100.