Final answer:
The probability that the average price for 16 gas stations exceeds $4.69 could be 'almost zero' if current averages are much lower, but without specific data on the distribution of gas prices, it's impossible to calculate exactly. Similarly, more data would be needed to accurately calculate the probability for 30 gas stations to have an average price below $4.55.
Step-by-step explanation:
When it comes to calculating the probability of price averages across multiple gas stations, we typically use statistical methods, particularly when assessing more extreme values (such as prices significantly higher than typical averages). For instance, to find the probability that the average price for 16 gas stations is more than $4.69, we usually rely on a distribution model such as the normal distribution and then calculate the area under the curve that corresponds to the average price exceeding $4.69.
Without additional information such as the standard deviation and the mean of gas prices, it is not possible to calculate this probability accurately. Nevertheless, if we know that current gas prices are on average much lower than $4.69, we might reasonably suggest that the probability is almost zero. Similarly, determining the probability that the average price for 30 gas stations is less than $4.55 would again require more data about the statistical distribution of gas prices.