a. By definition of conditional probability,
P(C | D) = P(C and D) / P(D) ==> P(C and D) = 0.3
b. C and D are mutually exclusive if P(C and D) = 0, but this is clearly not the case, so no.
c. C and D are independent if P(C and D) = P(C) P(D). But P(C) P(D) = 0.2 ≠ 0.3, so no.
d. Using the inclusion/exclusion principle, we have
P(C or D) = P(C) + P(D) - P(C and D) ==> P(C or D) = 0.6
e. Using the definition of conditional probability again, we have
P(D | C) = P(C and D) / P(C) ==> P(D | C) = 0.75
Answer:
z=-4/3
Step-by-step explanation:
8=-6z
z=-8/6
z=-4/3
Answer:
Step-by-step explanation:
.....
Answer:
There are 10 in 4kg
Step-by-step explanation:
Given

Required
Determine the number in 4kg
Represent this with x.
To calculate this, we make use of the following:

Multiply through by 



<em>Hence, there are 10 in 4kg</em>
Answer: y=6
Explanation: If you put the equation y=6 into graph form (as seen in the picture below) you will have a horizontal line that goes through the point (9,6)
(P.S the black dot represents the point (9,6))