Final answer:
To determine the expected number of males with a systolic blood pressure between 121 and 152 mm Hg, calculate the z-scores for both values and use the normal distribution to find the corresponding percentage, then multiply by the total number of males.
Step-by-step explanation:
The question relates to normal distribution and how it can be used to predict the occurrence of a particular range of outcomes in a given population. Here, we are looking at the systolic blood pressure in males, which follows a normal distribution with a given mean (μ = 125 mm Hg) and standard deviation (σ = 14 mm Hg).
To find out how many of the 344 randomly selected males would be expected to have a systolic blood pressure between 121 and 152 mm Hg, we need to calculate the z-scores for 121 mm Hg and 152 mm Hg using the formula: z = (X - μ) / σ. Once we have the z-scores, we can use z-score tables or a calculator to find the percentage of the population that falls between these scores. After finding this percentage, we multiply it by 344 to get the expected number of males.