Question

Do Cafe customers prefer chocolate chip muffins or blueberry muffins? A survey found:

Preference	Students	Non-Students	Total
Chocolate Chip Muffins	10	28	38
Blueberry Muffins	2	50	52
Something Else	5	14	19
Total	17	92	109

1. Given that a customer is a student, what is the probability that they prefer chocolate chip muffins?
2. What is the probability all customers prefer blueberry muffins?
3. Is preference for blueberry muffins independent of student status? Explain

Answer 1

(A)

P(Chocolate Chip Muffins/ Students) = P(Chocolate Chip Muffins AND Students) / P(Students)

                                                      = 10/17 = 0.5882

So,

Answer is:

0.5882

(B)

P(Blueberry Muffins) = 52/109 = 0.4771

So,

Answer is:

0.4771

(C)

P(Students) = 17/109 = 0.1560

P(Blueberry Muffins) = 52/109 = 0.4771

P(Students) X P(Blueberry Muffins) = 0.1560 X 0.4771 = 0.0744

P(Students AND Blueberry Muffins) = 2/109 = 0.0183

So,

P(Students AND Blueberry Muffins) = 0.0183 P(Students) X P(Blueberry Muffins) = 0.0744

So,

The preference for Blueberry Muffins is not independent of student status.