Final answer:
To provide an answer, we would need the mean and standard deviation of the lion's lifespan. Without this information, we cannot accurately use the empirical rule to estimate the probability of a lion living longer than 10.1 years.
Step-by-step explanation:
To estimate the probability of a lion living longer than 10.1 years using the empirical rule (68-95-99.7%), we need additional information such as the mean and standard deviation of the lifespan of lions. The empirical rule applies to a normally distributed dataset and tells us that approximately 68% of data falls within one standard deviation of the mean, 95% within two, and 99.7% within three.
Since the question does not provide the mean and standard deviation of the lion's lifespan, we cannot calculate the exact probability. However, we can estimate that there is a high probability (close to 100%) that a lion will live longer than 10.1 years based on the empirical rule.
However, without the mean lifespan and the standard deviation, we cannot use the empirical rule to calculate the probability directly. If we had the mean and standard deviation, we would typically calculate the z-score for 10.1 years and use the z-score to find the corresponding probability using a standard normal distribution table or a calculator function such as normalcdf.