Question

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

Explanation:

Step1: Identify relevant counts

We need the number of transfer applicants planning to stay off - campus (let's call this \(n(\text{transfer and off - campus})\)) and the number of applicants planning to stay off - campus (let's call this \(n(\text{off - campus})\)). From the table, \(n(\text{transfer and off - campus}) = 66\) and \(n(\text{off - campus})=118\).

Step2: Calculate the probability

The probability that an applicant planning to stay off - campus is a transfer applicant is given by the conditional probability formula \(P(\text{transfer}|\text{off - campus})=\frac{n(\text{transfer and off - campus})}{n(\text{off - campus})}\).

Substitute the values: \(\frac{66}{118}\approx0.559\)

Answer:

A. 0.559