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For purposes of making on-campus housing assignments, a college classifies its students as Priority A (seniors), Priority B (juniors), Priority C (freshmen and sophomores). Of the students who choose to live on campus, 10% are seniors, 20% are juniors, and the rest are underclassmen. The most desirable dorm is the newly constructed Gold dorm, and 60% of the seniors elect to live there. 15% of the juniors also live there, along with only 5% of freshmen and sophomores. What is the probability that the student lived in the Gold dorm and was an underclassmen? Round to three decimals.

Respuesta :

The probability that the student lived in the Gold dorm and was an underclassmen is of:

0.035 = 3.5%.

How to obtain a probability?

A probability is calculated by the division of the number of desired outcomes by the number of total outcomes.

The parameters for this problem are given as follows:

  • 70% of the students are underclassmen. (freshmen and sophomores).
  • Of the underclassmen students, 5% live in the gold dorm.

Hence the probability that the student lived in the Gold dorm and was an underclassmen is calculated as follows:

p = 0.7 x 0.05 = 0.035 = 3.5%.

More can be learned about probabilities at https://brainly.com/question/14398287

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