Suppose a chemical company has a pressure vessel (i.e., tank) for heating methyl ethyl doo doo.The pressure vessel is equipped with a sensor that sends a reading of the pressure to an operator employee in a control room.When the operator notices the pressure exceeding a safe level, the employee is to operate controls to transfer methyl ethyl doo doo from the vessel before an explosion occurs.The control room panel is also equipped with an alarm should the operator fail to notice the pressure is getting too high and fail to transfer methyl ethyl doo doo right away.As an additional backup to prevent an explosion, the pressure vessel is also equipped with a relief valve that should operate before pressure reaches a level that would cause the vessel to explode.In essence, assume there are three mechanisms in place to prevent explosion:1) the sensor that sends a signal to the control panel; 2) the alarm on the control panel; and 3) the relief valve.All three must fail in order for an explosion to occur.Presume the failure rates of each are as follows:1) sensor = 0.005;2) the alarm = 0.003; and 3) the relief valve = 0.002.If one were to disregard probability of human error (i.e., the operator fails to notice the sensor because she/he is distracted), what is the probability of an explosion due to failure of the electronic and mechanical components of the pressure vessel system?

A. 0.00000003or 3 X 10^-8

B. 0.01

C. 0.005 or 5 X 10^-3

D.0.002 or 2 X 10^-3