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A random sample of 250 undergraduate students from a large university was found to contain 64 freshmen, 60 sophomores, 61 juniors, and 65 seniors.

A) What proportion of undergraduate students are freshmen?
B) What is the risk of being a sophomore?

User C Walker
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Final answer:

The proportion of undergraduate students who are freshmen is 0.256 (or 25.6%). The risk of being a sophomore, which means the likelihood of a student being a sophomore, is 0.24 (or 24%).

Step-by-step explanation:

The question asks to calculate the proportion and risk for a given sample of undergraduate students classified by their academic years. Proportion is the ratio of a part to the whole, while risk is commonly interpreted as the chance or likelihood of an event occurring.

A) Proportion of Freshmen

Proportion of Freshmen = Number of Freshmen / Total Number of Students = 64 / 250 = 0.256.

B) Risk of Being a Sophomore

The risk of being a sophomore may refer to the chance of a randomly chosen student from a sample being a sophomore, which is calculated as Number of Sophomores / Total Number of Students = 60 / 250 = 0.24.