Answer:
The expected number of admissions for the fall semester is approximately 1248 students.
Step-by-step explanation:
We are given the following information in the question:
Number of Students: 1,060 1,400 1,540
Probability: 0.61 0.11 0.3
Formula:
[tex]\text{Expectation} = E(x) = \sum xP(x)[/tex]
Expected number of admissions for the fall semester =
[tex]E(x) = \sum xP(x)\\= (1060\times 0.61) + (1400\times 0.1) + (1540\times 0.3)\\=1248.6[/tex]
Hence, the expected number of admissions for the fall semester is approximately 1,248 students.