The useful life of one type of projector lamps has a normal distribution with a mean of ?= 2250 hours and a standard deviation of ?=175 hours. Use?X?to denote the life of a projector lamp selected at random.
(F) The probability that the useful life of a projector lamp selected at random is between 2100 and 2200 hours is closest to
(G) The probability that the useful life of a projector lamp selected at random is between 2200 and 2350 hours is closest to
(H) The lamp manufacturer is planning to offer a warranty on the useful lamp life. If the useful life is less than the warrantied useful life, represented by xw , the manufacturer will offer a free replacement. If the manufacturer wants about 5% of the lamps to be replaced free, the warrantied life xw should be closest to
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