Question

use the frequency distribution to the right, which shows the number of voters (in millions) according to age, to find the probability that a voter chosen at random is in the given age range.
not 65 years old or older
the probability is
(round to three decimal places as needed.)

Explanation:

Step1: Calculate total number of voters

Add up all the frequencies:
$$7.4 + 8.8+21.4 + 27.7+51.6+29.4$$
$$=(7.4 + 8.8)+(21.4 + 27.7)+(51.6 + 29.4)$$
$$=16.2+49.1+81$$
$$=146.3$$

Step2: Calculate number of voters not 65 or older

Subtract the number of voters 65 or older from the total. The number of voters 65 or older is \(29.4\). So the number of voters not 65 or older is \(146.3-29.4 = 116.9\)

Step3: Calculate the probability

Use the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, \(P=\frac{116.9}{146.3}\approx0.799\)

Answer:

\(0.799\)