The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. Admissions Probability 1,060 0.5 1,400 0.1 1,620 0.4What is the expected number of admissions for the fall semester?
Mathematics · College · Thu Feb 04 2021
Answered on
To find the expected number of admissions for the fall semester, we need to calculate the weighted average of the number of admissions, using the probabilities as weights. This is done by multiplying each number of admissions by its corresponding probability and then summing all the results.
Let's calculate it:
- For 1,060 admissions, the probability is 0.5. Multiply these: 1,060 * 0.5 = 530
- For 1,400 admissions, the probability is 0.1. Multiply these: 1,400 * 0.1 = 140
- For 1,620 admissions, the probability is 0.4. Multiply these: 1,620 * 0.4 = 648
Now, add all these products together to get the expected number of admissions:
Expected number of admissions = 530 + 140 + 648 = 1,318
So the expected number of admissions for the fall semester at Kinzua University in Nova Scotia is 1,318 students.