The table shows the​ distribution, by​ age, of a random sample of 3770 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 12-24 age range.

To find the probability that the moviegoer is not in the 12-24 age range, we need to subtract the probability of being in the 12-24 age range from 1.

The table is not provided, but let's assume it shows the following distribution across different age ranges:

Age range Frequency
12-24 x
25-34 y
35-44 z
45-54 w
55-64 u
65-74 v

We are given that the total sample size is 3770. Therefore, the sum of all the frequencies (x + y + z + w + u + v) should equal 3770.

To find the probability of being in the 12-24 age range, which is x/3770, we need to know the value of x.

Once we have the value of x, we can subtract it from 1 to find the probability of not being in the 12-24 age range, which would be (3770 - x)/3770.

Unfortunately, without the specific values of x, y, z, w, u, and v, we cannot calculate the exact probability.