They are independent because P(X) + P(Y) = P(X and Y).
They are dependent because P(X) · P(Y) = P(X and Y).
They are dependent because P(X) + P(Y) = P(X and Y).
Answer:
They are independent because P(X) · P(Y) = P(X and Y).
Step-by-step explanation:
Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. This means that the probability of both events happening is equal to the product of the probabilities of each event happening individually.
In the given situation, we have:
P(X) = 1/2
P(Y) = 1/2
P(X and Y) = 1/4
If we calculate the product of P(X) and P(Y), we get:
P(X) · P(Y) = 1/2 · 1/2 = 1/4
This is equal to P(X and Y), which means that the events X and Y are independent.
P(X) + P(Y) = P(X and Y) is not a necessary condition for independence. For example, the events of flipping a coin and rolling a die are independent, but P(X) + P(Y) ≠ P(X and Y).
Therefore, the best description of the events is that they are independent because P(X) · P(Y) = P(X and Y).
B: - 3/4
C: 3/4
D: 4/3
Answer:
B: -3/4
Step-by-step explanation:
Answer:
Number of ways = 6
Step-by-step explanation:
Given:
Total number of choices = 4
Taken object choices = 2
Find:
Number of ways
Computation:
Number of ways = [4 × 3] / 2!
Number of ways = [4 × 3] / [2 × 1]
Number of ways = [12] / [2]
Number of ways = 6
Answer:
These are the awnsers to it!
1: 12
2. 6
Answer:
3.35 × 10^6
Step-by-step explanation:
Trigonometric Functions
Given: Sin θ = (5/6), Find: Cot θ
Answer:
cotθ =
Step-by-step explanation:
sine = opposite / hypotenuse
cotangent = adjacent / opposite
So first we have to solve for the adjacent side b, using pythagorean theorem
cotangent = adjacent / opposite
cotθ =
B.) $31,046.07
C.) $25,657.90
Answer:
$25,657.90
Step-by-step explanation:
Edmentum