Final answer:
The question requests to find an unknown upper bound '?' for a given probability range of a normal distribution with a mean of 14.2 and standard deviation of 4.1. However, without the specified probability value, the question cannot be answered definitively.
Step-by-step explanation:
The student is asking to find the upper bound of a probability range for a normally distributed variable x, given a mean of 14.2 and a standard deviation of 4.1. Specifically, they're asking for the value of '?' such that P(10 ≤ x ≤ ?) equals a certain probability. Since the probability value itself is not specified in the question, it is not possible to provide a numerical answer.
To find '?' when the probability is known, one would typically use the standard normal distribution and z-scores to identify the corresponding value on the normal curve. This requires utilizing a z-table or calculator to find the z-score that corresponds to the cumulative probability up to 'x', then using the mean and standard deviation to scale this z-score back to find the actual value for 'x' in the context of the given normal distribution.