2. A manufacturer of telephone switchboards was using switching circuits from a

Question

2. A manufacturer of telephone switchboards was using switching circuits from a single supplier. The circuits were known to have a failure rate of 0.08/year. In a new board, however, 45% of the switching circuits came from a new supplier. Reliability testing indicates that the switchboards have a composite failure rate that is initially 75% higher than it was with circuits from the single supplier. The failure rate, however, appears to be decreasing with time.

a) Estimate the failure rate of the circuits from the new supplier.

Explanation / Answer

h(0) = f(0)/R(0) = f(0)/1 = f(0)

f(t) = 0.55 f1(t) + 0.45 f2(t)

h(0) = f(0) = 0.55 f1(0) + 0.45 f2(0) = 0.55 1 + 0.45 2

1.75 1 = 0.55 1 + 0.45 2

2 = 8/3 1 = 8/3 (0.08)

2 = 0.213

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