Final answer:
The provided data suggests that when x = 17, it is 2 standard deviations from the mean of its normal distribution, and the z-score for y=4 is also z=2. However, without additional context or specific relationships, it is not possible to determine a unique set of values for x, y, and z based on the information given.
Step-by-step explanation:
The question, "What are the values of x, y, and z?" requires analyzing the provided data which consists of correlation between some variables and determining values that satisfy these relations. Looking at the data provided, one of these equations is 'c. Suppose the random variables X and Y have the following normal distributions: X~ N(5, 6) and Y~ N(2, 1). If x = 17, then z = 2.' This suggests that when x = 17, it is 2 standard deviations from the mean of its normal distribution, similarly for y. The value of y is given as 4 since the z-score for y=4 is given as z=2. Unfortunately, the data does not specify a clear set of relations that allow for the determination of a specific set of values for x, y, and z without additional context or information.