The table shows the distribution,by age,of a random sample of a random sample of 3170 moviegoers ages 12-74. If one moviegoer is randomly selected from this population,find the probability, expressed as a simplified fraction, that the moviegoer is not in the 25-44 range.
To find the probability that the moviegoer is not in the 25-44 range, we need to sum up the probabilities of all the other age ranges and subtract it from 1.
Looking at the table, we have the following age ranges:
12-17: 150
18-24: 330
25-44: 1500
45-59: 920
60-74: 270
The total number of moviegoers in the sample is 3170.
The probability of a moviegoer being in the 25-44 range is: 1500 / 3170 = 15 / 31
So, the probability of a moviegoer not being in the 25-44 range is: 1 - 15/31 = 16/31
Therefore, the probability that the moviegoer is not in the 25-44 range is 16/31.