Question

Data were collected on 100 students regarding their class and major. The data are summarized in...

Data were collected on 100 students regarding their class and major. The data are summarized in the following contingency table:

 Major/class Sophomore Junior Senior Total Undeclared 19 5 6 30 Business 5 17 16 38 Science 5 6 21 32 Total 29 28 43 100

.

What is the probability of randomly selecting an undeclared student given that the student is a senior?

 0.3 0.14 0.73 0.43

Total senior students =43

P(undeclared | senior) = P(undeclared and senior)/P(senior)

= 6/43 =0.1395

So the answer is 0.14 (Option B) (rounded to 2 decimal places)

Please comment if any doubt. Thank you

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