Question

According to a survey of 95,845 first-time freshmen enrolled at four-year colleges, 52,163 reported that they were enrolled at their first-choice college. (a) if a person who participated in this survey is selected at random, what is the probability that the selected person was enrolled at their first-choice college? (round your answer to four decimal places.)

Answer 1

The probability that a randomly selected person was enrolled at their first-choice college is 0.5444, which represents a 54.44% chance when rounded to four decimal places.

Step-by-step explanation:

The question pertains to the calculation of the probability that a randomly selected person was enrolled at their first-choice college. Given that out of 95,845 first-time freshmen, 52,163 reported that they were enrolled at their first-choice college, the probability (P) can be calculated using the formula:

P = Number of successes / Total number of trials

Therefore, P = 52,163 / 95,845, which can then be rounded to four decimal places as required.

After performing the calculation, P = 0.5444. So, there is approximately a 54.44% chance that a randomly selected freshman is in their first-choice college.