Answer:
Probability that the system functions = 0.94 .
Step-by-step explanation:
We are provided that a system contains two components A and B. The system will function only if both components function means system will not function if only one component functions.
Also, Probability that A functions, P(A) = 0.98
Probability that B functions, P(A) = 0.95
Probability that either A or B functions, P(A [tex]\bigcup[/tex] B) = 0.99
Now we have to calculate the Probability that the system functions which mean Probability that both system will function, P(A [tex]\bigcap[/tex] B);
Since, P(A [tex]\bigcup[/tex] B) = P(A) + P(B) - P(A [tex]\bigcap[/tex] B)
0.99 = 0.98 + 0.95 - P(A [tex]\bigcap[/tex] B)
Therefore, Probability that the system functions, P(A [tex]\bigcap[/tex] B) = 0.94 .
