Step-by-step explanation:
I think answer A should be the correct answer
Complete question:
Calculate each probability given that P(A) = 0.2, P(B) = 0.8, and A & B are independent.
a) compute P(A and B)
b) If P(A|B) = 0.7, compute P(A and B).
Answer:
(a) P(A and B) = 0.16
(b) P(A and B) = 0.56
Step-by-step explanation:
Two events are independent if occurrence of one event does not affect possibility of occurrence of another.
(a) if A and B are independent, then P(A and B) = P(A) x P(B)
= 0.2 x 0.8
= 0.16
(b) If P(A|B) = 0.7, compute P(A and B)
Considering the notations of independent events,

= 0.7 x 0.8
= 0.56
Answer:
4894654894651
Step-by-step explanation:
The solutions to the system of equations is 
Explanation:
Given the system of equations are
and 
We need to determine the solution to the system of equations.
Let us plot the equation
in the graph.
When
, we get, 
When
, we get, 
Thus, the coordinates are (0,6) and (3,0)
Let us plot the equation
in the graph.
When
, we get, 
When
, we get, 
Thus, the coordinates are (0,-7) and (5,0)
The solution to the system of equations is the point of intersection of the two lines.
Thus, the lines intersect at the point 
The approximate values of the point is 
Thus, the solution is 
Answer:
= 4n + 11
Step-by-step explanation:
There is a common difference between consecutive terms, that is
19 - 15 = 23 - 19 = 4
This indicates the sequence is arithmetic with explicit rule
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 15 and d = 4 , then
= 15 + 4(n - 1) = 15 + 4n - 4 = 4n + 11