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 65-74 age range.
Ages Number
12-24 -----------610
25-44 -----------860
45-64 -----------630
65-74 -----------1890
http://www.jiskha.com/display.cgi?id=1489936856
To find the probability that the moviegoer is not in the 65-74 age range, we need to consider the total number of moviegoers who are not in that age range (12-64), and divide it by the total number of moviegoers in the population (3990).
To find the number of moviegoers who are not in the 65-74 age range (12-64), we add up the counts for the 12-24, 25-44, and 45-64 age groups:
610 + 860 + 630 = 2100
Now that we know there are 2100 moviegoers who are not in the 65-74 age range, we can calculate the probability by dividing this number by the total number of moviegoers in the population (3990):
P(moviegoer is not in 65-74 age range) = 2100/3990
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 2100 and 3990 is 210:
P(moviegoer is not in 65-74 age range) = (2100/210)/(3990/210) = 10/19
Therefore, the probability that the moviegoer is not in the 65-74 age range is 10/19.