Final answer:
The distribution of commute times for LA workers, denoted as X, follows a normal distribution with a mean of 29 minutes and a variance of 169 minutes squared, represented as X ~ N(29, 169).
Step-by-step explanation:
When describing the distribution of commute times for Los Angeles workers, we have been given that the average (mean) commute time is 29 minutes and the standard deviation is 13 minutes.
Additionally, we assume that the commute times are normally distributed. Therefore, the random variable X, representing the commute time for a randomly selected LA worker, is distributed as X ~ N(29, 169), where N indicates a normal distribution, 29 is the mean (µ), and 169 (which is 13 squared) is the variance (σ^2).
When dealing with normally distributed data, understanding its distribution allows for the calculation of various probabilities regarding the data set, such as the likelihood of a commute time being within a certain range.