The Z score for the data of 4 with a population mean of 6.333 and a standard deviation of 1.749 is calculated as follows: Z = (X - mean) / standard deviation Z = (4 - 6.333) / 1.749 Z = -1.54 To find the probability of getting a Z score of -1.54 or lower, we can use a standard normal distribution table or a calculator with a built-in function for this. The probability of getting a Z score of -1.54 or lower is approximately 0.0598 or 5.98%. Therefore, the probability that a randomly selected person from this population would have a Z score of 4 or lower is approximately 5.98%.