To find the probability that an applicant planning to stay off-campus is a transfer applicant, we follow these steps:
1. Identify the given data:
- Total number of applicants planning to stay off-campus: [tex]\( 118 \)[/tex]
- Number of transfer applicants planning to stay off-campus: [tex]\( 66 \)[/tex]
2. Calculate the probability:
The probability that an applicant planning to stay off-campus is a transfer applicant is calculated as the ratio of the number of transfer applicants planning to stay off-campus to the total number of applicants planning to stay off-campus.
[tex]\[
\text{Probability} = \frac{\text{Number of transfer applicants planning to stay off-campus}}{\text{Total number of applicants planning to stay off-campus}}
\][/tex]
3. Substitute the values:
[tex]\[
\text{Probability} = \frac{66}{118}
\][/tex]
4. Simplify the fraction or convert it to a decimal:
[tex]\[
\frac{66}{118} \approx 0.559
\][/tex]
Given this result, we can see it matches option B in the list of choices provided.
Therefore, the probability that an applicant planning to stay off-campus is a transfer applicant is [tex]\( 0.559 \)[/tex].
Final Answer: B. 0.559
