You have a face-to-face statistics class in the traditional classroom setting. There are 25 males and 45 females enrolled. You’re the instructor so you like to arrive in the classroom before the first students arrive. What is the probability that the first student who arrives is a female? Round to the nearest tenth or hundredths place.
As in your previous question, if we assume random arrival, all students have equal probability of arriving first.
The probability of a female student arriving first is given by
#of favourable outcomes ÷ total # of possible events.
To find the probability that the first student who arrives is a female, you need to divide the number of female students by the total number of students. In this case, the number of female students is 45, and the total number of students is 25 + 45 = 70.
So, the probability is calculated as:
Probability = Number of female students / Total number of students
= 45 / 70
≈ 0.64 (rounded to the nearest hundredths place)
Therefore, the probability that the first student who arrives is a female is approximately 0.64.