Final answer:
The probability of a randomly selected young man having a systolic blood pressure greater than 120 is more than 50%. According to the normal distribution with a mean of 125 and a standard deviation of 14, this probability would be between 50% and 75%. Hence, the closest correct answer is 75%. Option C is correct.
Step-by-step explanation:
To determine the probability of having a systolic blood pressure greater than 120 for a randomly selected young man from the population, we will reference the provided information that indicates that systolic blood pressure for males follows an approximately normal distribution with a mean (μ) of 125 and a standard deviation (σ) of 14 millimeters of mercury (mm Hg). To calculate the probability, we must use z-scores and the properties of the normal distribution.
First, we calculate the z-score for a systolic blood pressure of 120:
Z = (X - μ) / σ
Z = (120 - 125) / 14 ≈ -0.357
A z-score of -0.357 corresponds to a percentile lower than 50%, which means that the probability of having a systolic blood pressure greater than 120 is more than 50%. Consulting a standard normal distribution table or using software, the exact percentile can be found.
However, without exact calculations and based on the given answer choices, we can infer that the probability must fall between 50% and 75%. Therefore, the closet correct answer would be (c) 75%, as it is the probability that is greater than 50%.