A system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that both function is 0.88. What is the probability that the system functions?
Step 1 of 1
Let A and B be the two components.
Let A be the probability function is
P(A) = 0.95
Let B be the probability function is
P(B) = 0.90 and
The probability both function is 0.88
Here both function is A and B.
Our goal is to find :
a). What is the probability that the system function?
Now we need to find the probability that the system function.
The formula of is
We know that ,and .
Substitute the all values in the above equation.
Therefore the probability that the system function is 0.97