Answers:
(b) 4/9 (0.44)
(c) The events are not independent.
Explanations:
(b) The probability of hamburgers given diet soda is:
P(hamburgers | diet soda) = 40/90 = 4/9 (0.44)
(c)
P(hamburgers) = 130/250 = 13/25
Whereas
P(diet soda) = 4/9
[tex] \frac{4}{9} \neq \frac{13}{25} [/tex]
Since both probabilities are not equal, hence the events are not independent.
ALWAYS REMEMBER: Events are independent if their probabilities are equal.
-i
