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>
Answer:
A
Step-by-step explanation:
Because each value of x maps onto only one value of y, it is a function.
However, because it is not the graph of a line, it is a nonlinear function.
Our final answer must represent "number of mosquitos." This verifies that the correct calculation would be
1000 mosquitos 10.5 hours
----------------------- x --------------------
1 hour 1
Multiply this out. Note that "hours" will cancel.
Whats your result?
Supposing that your result looked like xxxxx times 10^0,
you'd convert this into scientific notation by moving the decimal place four units to the left (obtaining x.xxx) and then increasing the exponent of 10 from zero to four (obtaining 10^4).
Then your answer would have the form x.xxx times 10^4 (mosquitos)
