The table shows the distribution, by age, of a random sample of 294
0
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 dash 44
age range.
To find the probability that the moviegoer is not in the 25-44 age range, we need to subtract the probability of the moviegoer being in the 25-44 age range from 1.
From the table, we can see that the percentage of moviegoers in the 25-44 age range is 30%.
Therefore, the probability of the moviegoer being in the 25-44 age range is 0.30.
The probability of the moviegoer not being in the 25-44 age range is 1 - 0.30 = 0.70.
Therefore, the probability, expressed as a simplified fraction, that the moviegoer is not in the 25-44 age range is 70/100 = 7/10.
To find the probability that the randomly selected moviegoer is not in the 25-44 age range, we need to subtract the probability of being in the 25-44 age range from 1.
First, we need to calculate the proportion of moviegoers in the 25-44 age range. Looking at the table, we can see that there are 86 moviegoers in that age range.
So, the probability of selecting a moviegoer in the 25-44 age range is 86/294.
To find the probability of not being in the 25-44 age range, we subtract this probability from 1:
1 - 86/294 = (294 - 86)/294 = 208/294.
Therefore, the probability that the moviegoer is not in the 25-44 age range is 208/294, which can be simplified further if needed.