applicants to a university were surveyed about their planned living arrangements for the coming year. the…

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.\n| |on - campus|off - campus|total|\n|--|--|--|--|\n|transfer applicants|38|66|104|\n|freshman applicants|85|52|137|\n|total|123|118|241|\nwhat is the probability that an applicant planning to stay off - campus is a transfer applicant?\na. 0.559\nb. 0.635\nc. 0.525\nd. 0.490

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.\n| |on - campus|off - campus|total|\n|--|--|--|--|\n|transfer applicants|38|66|104|\n|freshman applicants|85|52|137|\n|total|123|118|241|\nwhat is the probability that an applicant planning to stay off - campus is a transfer applicant?\na. 0.559\nb. 0.635\nc. 0.525\nd. 0.490

Answer

Explanation:

Step1: Identify relevant values

The number of off - campus transfer applicants is 66, and the total number of off - campus applicants is 118.

Step2: Calculate the probability

The probability $P$ that an applicant planning to stay off - campus is a transfer applicant is given by the formula $P=\frac{\text{Number of off - campus transfer applicants}}{\text{Total number of off - campus applicants}}$. So $P = \frac{66}{118}\approx0.559$.

Answer:

A. 0.559