Final answer:
Without specific failure rate data or a definition of 'mid-life' from the manufacturer, the statistical assumption is that approximately 50% of the lamps might fail before reaching the median lifespan.
Step-by-step explanation:
In the question regarding the batch of 1,000 lamps and their failure before the mid-life stated by the manufacturer, the answer depends on the context provided by the manufacturer's specifications. Typically, the term 'mid-life' refers to the median lifespan of the products, implying that approximately 50% of the lamps might fail before reaching this point if the failures are uniformly distributed over the lifespan. However, without specific data concerning the failure rate or the definition of 'mid-life', the most reasonable statistical assumption is that approximately half would fail before reaching the median lifespan.