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A survey among 311 adults found that 85 people spend less than 2

hours watching TV per week. 105 people spend between 2 and 5
hours, 96 people spend between 5 and 10 hours per week, and 25
people spend over 10 hours. What is the experimental probability
that a randomly selected adult spending at most 5 hours watching
TV per week? Enter your answer as a decimal rounded to the
nearest thousandth.

1 Answer

6 votes

Final answer:

The experimental probability of a randomly selected adult spending at most 5 hours watching TV per week is 0.611 when rounded to the nearest thousandth.

Step-by-step explanation:

The student's question involves calculating the experimental probability that a person selected at random from a survey will spend at most 5 hours watching TV per week.

To find this probability, we add the number of people who watch less than 2 hours of TV (85 people) to the number who watch between 2 and 5 hours (105 people).

Then, we divide this sum by the total number of people surveyed (311 people).

To perform the calculation:

  1. Add the numbers of people in the two relevant categories: 85 (less than 2 hours) + 105 (between 2 and 5 hours) = 190 people.
  2. Divide by the total number of people surveyed: 190 / 311.
  3. Round the resulting decimal to the nearest thousandth.

The calculation will look like this: 190 / 311 ≈ 0.611 (rounded to the nearest thousandth).

Therefore, the experimental probability that a randomly selected adult spends at most 5 hours watching TV per week is approximately 0.611.

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