A taste test asks people from Texas and California which pasta they prefer, brand A or brand B. This table shows the results.
Brand A
Brand B
Total
Texas
80
45
125
California
96
54
150
Total
176
99
275
A person is randomly selected from those tested.
Are being from California and preferring brand B independent events? Why of
why not?
A. No, they are not independent because P(California) = 0.55 and
P(California|brand B) = 0.36.
B. No, they are not independent because P(California) = 0.55 and
P(Californialbrand B) = 0.55.
C. Yes, they are independent because P(California) = 0.55 and
P(California brand B) = 0.55.
O D. Yes, they are independent because PCalifornia) = 0.55 andy
P(California brand B) = 0.36.