if events X and Y are independent, then for intersection we multiply the probability
P(Y∩X) = P(Y) * P(X)
We know that
Now we replace P(Y) * P(X) for P(Y∩X)
Cancel out P(X)
So
Like that
Now we replace P(X) * P(Y) for P(X∩Y)
Cancel out P(Y)
So
P(Y | X) = P(Y) and P(X | Y) = P(X) are true
Answer:
The value of y for x = 45 is 120 .
Step-by-step explanation:
Given as :
Let The variables y and x are proportional to each others
I,e y ∝ x
Now , y = k x
So, for x = 3 , y = 8
I.e 8 = k × 3 ........1
∴ k =
<u>Similarly </u>
for x = 45 , y = k × 3
I.e y = k × 45 ..........2
Now, putting the value of k in eq 2
So, y = × 45
I.e y =
Or, y = 8 × 15
∴ y = 120
So, for x = 45 , y = 120
Hence The value of y for x = 45 is 120 . Answer