Question

applicants to a university were surveyed about their planned living arrangements for the coming year. the results of the survey are displayed in the two - way frequency table.

	on - campus	off - campus	total
freshman applicants	85	52	137
total	123	118	241

what is the probability that an applicant planning to stay off - campus is a transfer applicant?
a. 0.525
b. 0.559
c. 0.635
d. 0.490

Explanation:

Step1: Identify relevant values

We need the number of transfer applicants planning off-campus (66) and total off-campus applicants (118).

Step2: Calculate conditional probability

Probability = $\frac{\text{Transfer Off-Campus}}{\text{Total Off-Campus}}$
$\text{Probability} = \frac{66}{118}$

Step3: Compute decimal value

$\frac{66}{118} \approx 0.559$

Answer:

B. 0.559