I NEED HELP WITH THIS QUESTION PLEASE ? :(
1 answer:
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Answer: The correct option is (1) Dependent.
Step-by-step explanation: For two events, we are given the following values of the probabilities :
P(A ∩ B) = 0.20, P(A) = 0.49 and P(B) = 0.41.
We are to check whether the events A and B are independent or dependent.
We know that
the two events C and D are said to be independent if the probabilities of their intersection is equal to the product of their probabilities.
That is, P(C ∩ D) = P(C) × P(D).
For the given two events A and B, we have
Therefore, the probabilities of the intersection of two events A and B is NOT equal to the product of the probabilities of the two events.
Thus, the events A and B are NOT independent. They are dependent events.
Option (1) is CORRECT.
1. We need to get rid of those pesky parentheses. We do this by distributing the 3.
2. We need to get "n" by itself, so we add 9 to both sides.
3. Add like terms.
4. Now, we need to get rid of the -9, so we divide both sides by -9. Remember that dividing by negative numbers changes the direction of the "greater than or equal to" symbol.
5. We divide, and the negatives cancel.
I wrote the answer both ways so that I could tell what the number line needed to look like.
2. We need to get "n" by itself, so we add 9 to both sides.
3. Add like terms.
4. Now, we need to get rid of the -9, so we divide both sides by -9. Remember that dividing by negative numbers changes the direction of the "greater than or equal to" symbol.
5. We divide, and the negatives cancel.
I wrote the answer both ways so that I could tell what the number line needed to look like.