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

Answer:

$P (Yes | Nebraska) = 0.10$

Step-by-step 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:

$P (Yes | Nebraska) = \frac{P(Yes\ n\ Nebraska)}{P(Nebraska)}$

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:

$P (Yes | Nebraska) = \frac{P(Yes\ n\ Nebraska)}{P(Nebraska)}$

$P (Yes | Nebraska) = \frac{0.044}{0.444}$

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