It looks like you are roughly right, but still, a sampling of 8 students from this population is not likely to come up that way (by my calculation 1.4x10^-7)
Its really not; hiring within a single firm, especially for related functions, will tend fo have correlated biases, rather than being a random sample from even the pool of qualified applicants, much less the broader population.
> All Students in Higher Education in California
> 2,737,000
> First-Generation Immigrant Students
> 387,000
14% are first-generation immigrants
from: https://www.higheredimmigrationportal.org/state/california/