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 hundredt…

Question

asked Jan 11, 2022 71.6k views

1 Answer

Ricard · Answer 1 · 2022-01-17T08:33:22+0000

Answer:

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