Question

Ms. Jonna is told that 30% of students have at least one class that uses a...

Ms. Jonna is told that 30% of students have at least one class that uses a free online textbook (OER),70% of students are concerned about the cost of books, and 17% of students have at least one class that uses a free online book AND are concerned about the cost of books.
a) create a contingency table with the above information
b) Determine the likehood that a student is concerned about the cost of books given that they have at least one class that uses a free online book.
c) Are the events of having at least one class that uses a free online book and being concerned about the cost of books independent? Briefly explain

Math   Statistics-And-Probability   
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Answer #1

Ans:

a)

P(free online textbook)=0.30

P(concerned about cost of books)=0.70

P(free online textbook and concerned about cost)=0.17

b)P(concerned about cost/free online textbook)

=P(free online textbook and concerned about cost)/P(free online textbook)

=0.17/0.30

=0.567

c)For two events A and B to be independent:

P(A and B)=P(A)*P(B)

But

P(free online textbook and concerned about cost)=0.17

P(free online textbook)*P(concerned about cost of books)=0.30*0.70=0.21

As,both are not equal so,both events are not independent.

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