Answer:
A) 0.29; C) 0.36; A) are
Step-by-step explanation:
There are a total of 128+162 = 290 people that are over 25 years old. Out of these, there are 84 people with a hemoglobin level above 11; this is a probability of 84/290 = 0.29.
There are 154 people with a hemoglobin level over 11 out of 429 people total; 154/429 = 0.36.
In order for two events to be independent,
P(A∩B) = P(A)·P(B)
The probability that someone is over 25 and has a hemoglobin level above 11 was 0.29.
The probability that someone is over 25 is 290/429; the probability that someone has a hemoglobin level above 11 is 154/429. This makes
P(A)·P(B) = (290/429)·(154/429) = 0.24
The probabilities are not equal, so the events are not independent; this means they <em>are</em> dependent.