An engineering construction firm is currently working on power plants at three different sites. Let ?Ai ?denote the event that the plant at site ?i ?is completed by the contract date. Use the operations of union, intersection, and complementation to describe each of the following events in terms of ?A?1, ?A?2, and ?A?3, draw a Venn diagram, and shade the region corresponding to each one. a?.? t least one plant is completed by the contract date. b?. ?All plants are completed by the contract date. c?.? nly the plant at site 1 is completed by the contract date. d?.? xactly one plant is completed by the contract date. e?. ?Either the plant at site 1 or both of the other two plants are completed by the contract date.
Answer : Step 1 : Given the amount of flow through a solenoid valve in an automobile’s pollution-control system is an important characteristic. An experiment was carried out to study how flow rate depended on three factors: armature length, spring load, and bobbin depth. Two different levels (low and high) of each factor were chosen, and a single observation on flow was made for each combination of levels. a). Here number observations equal 2*2*2 = 8 So low = L and high =H The 8 observations are LLL, LLH, LHL, LHH,HLL, HLH, HHL, HHH. Hence the resulting data set consisted 8 observations.