Question

What is the probability that a randomly selected student who lives in Nebraska plans to stay in his or her home state after graduation? Round your answer to the nearest hundredth.

Answer 1

`P (Yes | Nebraska) = 0.10`

Explanation:

Given

See attachment for contingency table

Required

`P (Yes | Nebraska)`

From the contingency table, we have:

`P (Yes\ n\ Nebraska) = 0.044`

`P (No\ n\ Nebraska) = 0.400`

The required can be represented as:

`P (Yes | Nebraska) = (P(Yes\ n\ Nebraska))/(P(Nebraska))`

Where

`P (Nebraska) = P (No\ n\ Nebraska) +P (Yes\ n\ Nebraska)`

So, we have:

`P (Nebraska) = 0.400 + 0.044`

`P (Nebraska) = 0.444`

So, we have:

`P (Yes | Nebraska) = (P(Yes\ n\ Nebraska))/(P(Nebraska))`

`P (Yes | Nebraska) = (0.044)/(0.444)`

`P (Yes | Nebraska) = 0.10` --- approximated