Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

fill in the blank 1 point use the frequency distribution below, which s…

Question

fill in the blank 1 point
use the frequency distribution below, which shows the number of voters (in millions) according to age. the probability that a voter chosen at random is not between 45 and 64 years old is (type your answer.) (round to three decimal places)
ages of voters frequency
18 to 20 7.7
21 to 24 9.1
25 to 34 22.6
35 to 44 25.4
45 to 64 52.4
65 and over 25.4

Explanation:

Response
  1. First, find the total frequency:
  • Add up all the frequencies: \(7.7 + 9.1+22.6 + 25.4+52.4+25.4=142.6\).
  1. Then, find the frequency of voters not - between 45 and 64 years old:
  • Add the frequencies of the other age - groups: \(7.7 + 9.1+22.6 + 25.4+25.4 = 90.2\).
  1. Calculate the probability:
  • The probability \(P\) that a voter chosen at random is not between 45 and 64 years old is given by \(P=\frac{90.2}{142.6}\approx0.633\).

Answer:

0.633