Final answer:
A bus driver can legally drive a maximum of 11 hours after 10 consecutive hours off duty, as per U.S. regulations. Probabilities can be calculated for various scenarios, such as waiting times for buses or hours driven by bus drivers, by applying principles of uniform distribution and statistical analysis.
Step-by-step explanation:
According to the Hours of Service regulations, which vary by country but are quite similar in Canada and the United States for example, the maximum number of hours a bus driver can drive in a day without certain exceptions is usually regulated. However, based on the options provided (a.13, b.11, c.12, d.14), if we were to follow the U.S. Federal Motor Carrier Safety Administration (FMCSA) rules, the maximum number of hours a bus driver can drive is 11 hours after 10 consecutive hours off duty (Option b). It's important to note that there are nuances and exceptions to these rules, depending on the specific situation or country.
When discussing probabilities, such as the chance for a person to wait less than 12.5 minutes for a bus if the time is uniformly distributed between 0 and 15 minutes, the calculation would be the percentage of the total time range. Here, the probability would be (12.5-0)/(15-0) = 0.8333, or 83.33%. When calculating the 65th percentile for the hours spent by bus drivers on their routes, you would sort all the data in ascending order and find the value below which 65% of the data falls.
Understanding and correctly applying the probability principles and statistical analysis can answer questions about uniform distributions, percentiles, and specifics for chances related to buses and truck drivers' mileage.