In a random survey 25 out of 150 people were able to give a correct answer to the question asked. If 500 people are surveyed about how many would be expected to answer the question correctly?

To find the expected number of correct answers in a survey of 500 people, we first determine the proportion of correct answers from the initial survey: 25 out of 150, which is ( \frac{25}{150} = \frac{1}{6} ) or approximately 0.167. Applying this proportion to the new survey size of 500, we calculate ( 500 \times \frac{1}{6} ), which equals approximately 83.33. Therefore, we can expect around 83 people to answer the question correctly in the larger survey.