A particular automatic sprinkler system has two different types of activation devices for each sprinkler head. One type has a reliability of 0.9; that is, the probability that it will activate the sprinkler when it should is 0.9. The other type, which operates independently of the first type, has a reliability of 0.8. If either device is triggered, the sprinkler will activate. Suppose a fire starts near a sprinkler head.
a. What is the probability that the sprinkler head will be activated?
b. What is the probability that the sprinkler head will not be activated?
c. What is the probability that both activation devices will work properly?
d. What is the probability that only the device with reliability 0.9 will work properly?
Let T1 denote the event that the first device is triggered, and let T2 denote the event that the second device is triggered. Then P(T1) = 0.9 and P(T2) = 0.8.
You might also like to view...
The number of drawings in a plan set for a commercial project may be _____.
a. 5 to 10 b. 10 to 20 c. 50 to 60 d. over 100
Which of the following is a correct analysis of the isothermal reactor, compared to the adiabatic reactor?
A feed stream of 50 mol% A and 50 mol% B at 500 K enter an adiabatic steady state reactor. The reaction is A + B ? C and occurs in the liquid phase. The stream leaving the reactor is at 545 K, and is at equilibrium. An engineer proposes adding temperature control to the reactor, so that it is instead an isothermal reactor at 500 K A. The reaction will be slower in the isothermal reactor, but the effect on the extent of reaction at equilibrium cannot be determined. B. The reaction will be slower in the isothermal reactor, and the extent of reaction at equilibrium will be lower than in the adiabatic reactor. C. The reaction will be slower in the isothermal reactor, but if the reaction reaches equilibrium, the extent of reaction will be higher than in the adiabatic reactor. D. It is unrealistic for a reaction to occur in the liquid phase at temperatures of 500 K and above. E. None of the above are accurate.
With codes and data, error detection is accomplished through some form of ___________
A. redundancy B. modulation C. coding D. quantization
How should transmission fluid level in an Allison hydromechanical transmission be checked?
A. vehicle is on a level surface B. engine is idling C. transmission is in neutral D. all of the above