Two Stages, One Teacher — medium Sampling & Study Design problem | Incognition

Two Stages, One Teacher

Sampling & Study DesignMedium+20 XP+20

Two Stages, One Teacher

A state education board runs a two-stage cluster sample of teachers.

Stage 1: Of the state's 50 school districts, 10 are chosen at random — every district equally likely, no district chosen twice.
Stage 2: Inside each chosen district, 40 teachers are chosen at random from that district's own teacher list.

District R has 200 teachers. District S has 800 teachers.

What is the probability that one particular teacher in District R ends up in the final sample?

Hints

Solve it to unlock the solution

Once you get it right, the reasoning behind the answer shows up here.

Select all that apply.