Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use the frequency distribution to the right, which shows the number of …

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 between 18 to 20 years old
the probability is
(round to three decimal places as needed.)

Explanation:

Step1: Calculate total number of voters

Sum up all frequencies: \(7.8 + 10.1+20.2 + 23.3+53.8+27.8\)

$$ LATEXBLOCK0 $$

Step2: Calculate number of voters not in 18 - 20 age range

Total voters - voters in 18 - 20 age range: \(143-7.8 = 135.2\)

Step3: Calculate probability

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{135.2}{143}\)

$$ \frac{135.2}{143}\approx0.945 $$

Answer:

\(0.945\)