The table shows the​ distribution, by​ age, of a random sample of 3990 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 65-74 age range.

Ages Number

12-24 610
25-44 860
45-64 630
65-74 1890

(3990-1890)/3990

Well, if we want to find the probability that a moviegoer is not in the 65-74 age range, we need to calculate the total number of moviegoers who are not in that range and divide it by the total number of moviegoers.

Let's see... the total number of moviegoers is the sum of the number of moviegoers in each age range: 610 + 860 + 630 + 1890 = 3990.

Now, we need to subtract the number of moviegoers in the 65-74 age range (1890) from the total number of moviegoers: 3990 - 1890 = 2100.

So, the number of moviegoers who are not in the 65-74 age range is 2100.

Finally, we can calculate the probability by dividing the number of moviegoers who are not in the 65-74 age range by the total number of moviegoers: 2100 / 3990.

And there you have it! The probability is 2100/3990.

To find the probability that the moviegoer is not in the 65-74 age range, we need to sum up the frequencies of all the other age ranges and divide it by the total number of moviegoers.

The frequency of moviegoers not in the 65-74 age range would be the sum of the frequencies for the following age ranges: 12-24, 25-44, and 45-64.

Frequency of moviegoers not in the 65-74 age range = Frequency(12-24) + Frequency(25-44) + Frequency(45-64)
= 610 + 860 + 630
= 2100

The total number of moviegoers is given as 3990.

Therefore, the probability that the randomly selected moviegoer is not in the 65-74 age range is:

Probability = Frequency of moviegoers not in the 65-74 age range / Total number of moviegoers
= 2100 / 3990
= 7/13

So, the probability, expressed as a simplified fraction, that the moviegoer is not in the 65-74 age range is 7/13.

To find the probability that the moviegoer is not in the 65-74 age range, we need to calculate the proportion of individuals that are not in that age range.

First, we need to find the total number of moviegoers. This can be done by summing up the number of moviegoers in each age range:

Total number of moviegoers = Number of moviegoers (12-24) + Number of moviegoers (25-44) + Number of moviegoers (45-64) + Number of moviegoers (65-74)

Total number of moviegoers = 610 + 860 + 630 + 1890 = 3990

Next, we need to find the number of moviegoers that are not in the 65-74 age range. This can be done by subtracting the number of moviegoers in the 65-74 age range from the total number of moviegoers:

Number of moviegoers not in 65-74 age range = Total number of moviegoers - Number of moviegoers (65-74)

Number of moviegoers not in 65-74 age range = 3990 - 1890 = 2100

Finally, we can calculate the probability by dividing the number of moviegoers not in the 65-74 age range by the total number of moviegoers:

Probability = Number of moviegoers not in 65-74 age range / Total number of moviegoers

Probability = 2100 / 3990

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor:

Probability = 7/13

Therefore, the probability that a randomly selected moviegoer is not in the 65-74 age range is 7/13.

The table shows the​ distribution, by​ age, of a random sample of 3460 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.