2. For purposes of making on-campus housing assignments, a college classifies its students as Seniors, Juniors, and Underclassmen. 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 the Underclassmen. Round your answers to three decimal places. a. Create a tree diagram for the scenario above., b. What is the probability that a randomly selected resident lives in the Gold dorm? ( c. What is the probability that a randomly selected resident is a Senior given they live in the Gold dorm"

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. For purposes of making on-campus housing assignments, a college classifies its students as
Seniors, Juniors, and Underclassmen. 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 the Underclassmen. Round your answers to three decimal places.
a. Create a tree diagram for the scenario above.,
b. What is the probability that a randomly selected resident lives in the Gold dorm? (
c. What is the probability that a randomly selected resident is a Senior given they live in the
Gold dorm"
1
Transcribed Image Text:2. For purposes of making on-campus housing assignments, a college classifies its students as Seniors, Juniors, and Underclassmen. 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 the Underclassmen. Round your answers to three decimal places. a. Create a tree diagram for the scenario above., b. What is the probability that a randomly selected resident lives in the Gold dorm? ( c. What is the probability that a randomly selected resident is a Senior given they live in the Gold dorm" 1
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