We have:
Event A ⇒ P(A) = 0.16
Event B ⇒ P(B) = 0.09
Probability of event B given event A happening, P(B|A) = P(A∩B) / P(A) = 0.12
By the conditional probability, the probability of event A and event B happens together is given by:
P(B|A) = P(A∩B) ÷ P(A)
P(B|A) = P(A∩B) ÷ 0.16
0.12 = P(A∩B) ÷ 0.16
P(A∩B) = 0.12 × 0.16
P(A∩B) = 0.0192
When two events are independent, P(A) × P(B) = P(A∩B) so if P(A∩B) = 0.0192, then P(B) will be 0.0192 ÷ 0.16 = 0.12 (which take us back to P(B|A))
Since P(B|A) does not equal to P(B), event A and event B are not independent.
Answer: <span>Events A and B are not independent because P(B|A) ≠ P(B)</span>
I know I dislike it as well! Sorry you are having trouble with it! :)
Answer:
226.981
Step-by-step explanation:
The volume of a cube is found using the formula V = s³. Substitute s = 6.1 and simplify.
V = s³
V = (6.1)³
V = (6.1)(6.1)(6.1)
V = 226.981
Answer: B. 
Step-by-step explanation:
Let 
be the proportion of all U.S. adults that smoked in 1995. Let 
denote the proportion of all U.S. adults that smoked in 2000.
Objective for the study : Whether the proportion of U.S. adults that smoke declined during the 5-year period between the samples.
i.e. 
Alternative hypothesis
is the statement containing population parameter that shows there is significant difference between the groups being tested.
⇒
Null hypothesis
is the statement containing population parameter that shows there is no significant difference between the groups being tested.
⇒
Hence, The hypotheses to test in this problem are
Hence, the correct answer is B.
Answer:
$60
Step-by-step explanation:
25/100x80=20
80-20=60
