College

Benji sells items in a shop and online. In a survey, he asked 100 people the following questions:

- Do you prefer to buy items in a shop or online?
- Are you aged under 25 years, 25 to 40 years, or over 40 years?

Survey Results:
- 56 of the 100 people prefer to buy online.
- 27 people aged under 25 years prefer to buy online.
- 12 of the 33 people aged 25 to 40 years prefer to buy in a shop.
- Of the people aged over 40 years, 8 prefer to buy online and 17 prefer to buy in a shop.

One person who prefers to buy in a shop is chosen at random to win a prize.

Answer :

Final answer:

The question involves analyzing survey data on people's preferences for buying items in a shop or online and calculating the probability of randomly selecting one person who prefers to buy in a shop to win a prize.

Explanation:

The subject of the question is mathematics. It involves analyzing survey data related to the preferences of people regarding buying items in a shop or online, segmented by age groups. The question asks for the probability of randomly selecting one person who prefers to buy in a shop to win a prize.

To find the probability, we need to determine the total number of people who prefer to buy in a shop and the total number of people surveyed who prefer to buy in a shop. Then, we can use this information to calculate the probability by dividing the number of people who prefer to buy in a shop by the total number of people surveyed.

Let's calculate the probability:

  1. Number of people who prefer to buy in a shop = 12 (people aged 25 to 40 years) + 17 (people aged over 40 years) = 29
  2. Total number of people surveyed who prefer to buy in a shop = 12 (people aged 25 to 40 years) + 17 (people aged over 40 years) + 1 (randomly selected person to win a prize) = 30
  3. The probability of randomly selecting one person who prefers to buy in a shop to win a prize = Number of people who prefer to buy in a shop / Total number of people surveyed who prefer to buy in a shop = 29 / 30 = 0.9667 (rounded to four decimal places)

Learn more about probability here:

https://brainly.com/question/32117953

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