Final answer:
X is a normally distributed random variable with a mean of 34 and a standard deviation of 9, allowing for computation of various probabilities related to X, following the empirical rule.
Step-by-step explanation:
X is a normally distributed random variable with a mean (μ) of 34 and a standard deviation (σ) of 9. This information provides a complete description of the probability distribution, allowing for the calculation of various probabilities associated with X. Answers to the Example QuestionsWhen working with normally distributed data, calculations often involve the use of Z-scores which normalize the dataset so that the resulting distribution has a mean of 0 and a standard deviation of 1. To answer specific questions like the probability of X being greater than a certain value, you would need to transform the X value into a Z-score and then look up that Z-score in a standard normal table or use statistical software.