A telemarketer's computer selects phone numbers at random. The telemarketer has recorded the number of respondents in each age bracket for one evening in the following table. What is the probability that the next respondent will be between 18 and 35? Enter a fraction or round your answer to 4 decimal places, if necessary. Number of Respondents by Age: Under 18 (21), 18-25 (26), 26-35 (33), 36-45 (58), Over 45 (52).

Answer

To find the probability that the next respondent is between 18 and 35, follow these steps: 1. Identify the favorable outcomes. The range 'between 18 and 35' includes two categories from the table: '18-25' with 26 respondents and '26-35' with 33 respondents. Sum these to find the total favorable outcomes: 26 + 33 = 59. 2. Calculate the total number of respondents by adding all categories together: 21 (Under 18) + 26 (18-25) + 33 (26-35) + 58 (36-45) + 52 (Over 45) = 190 total respondents. 3. Form the probability fraction by putting the favorable outcomes over the total outcomes: 59/190. 4. Convert the fraction to a decimal by dividing 59 by 190. 59 ÷ 190 ≈ 0.310526... 5. Round to four decimal places as requested: 0.3105. The probability that the next respondent will be between 18 and 35 is 59/190 or 0.3105.