Final answer:
To find the proportion of the population that is less than 29, we need to use the standard normal distribution table. Using the z-score obtained from the formula, we can find the corresponding proportion to be approximately 0.3413.
Step-by-step explanation:
To find the proportion of the population that is less than 29, we need to use the standard normal distribution table. We can convert the given values to z-scores using the formula z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. Substituting the values, we get z = (29 - 31) / σ. We can then use the z-score to find the corresponding proportion in the standard normal distribution table.
Using the z-score of -1.00 (rounded to two decimal places) obtained from the formula, we can find the corresponding proportion to be approximately 0.1587 (rounded to four decimal places). However, we need to find the proportion that is less than 29, so we subtract this proportion from 0.5 (which represents the area under the curve to the left of the mean) to get approximately 0.3413 (rounded to four decimal places).
Therefore, the proportion of the population that is less than 29 is approximately 0.3413.