A circuit-board is assembled using four identical components (numbered 1 through 4) in their youth phase (ie. constant failure rate) with MTTF ,

A circuit-board is assembled using four identical components [numbered 1 through 4) i_n their youth phase {ie. constant failure rate} with MTTF , ,u = W .{ ,ttw determined above.) The overall life of the board is reected by the reliability diagram given below, (Note: components 1 and 2 occur at two places}. Write down its structure function x) explicitly in terms of the states Jo. Determine all of its path sets. Identify the minimal path sets. M: there will be 3) Redraw the diagram as a parallel structure of the minimum path series structures, and generate its structure function. e. Determine the reliability mction Rf?) for each minimal path set. FLPETF' f. Using {e} above, determine the Rf?) of the circuit-board, and determine its reliabilin at 30 seconds. g. If the MFTF of each component in the highest reliable path set is increased by 25%, what would be the board's reliability at 30 seconds? {this increase is ONLY for this question} h. Determine all of its (the board's} cut sets. i. Identifyr the minimal cut sets. j. Redraw the diagram as a series structure of the minimum cut parallel structures, and generate its structure function