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Forty-nine heat lamps are connected in a greenhouse so that when one fails, another immediately takes over, with only one lamp on at a time. The lamps have a mean life of 50 hours with a standard deviation of 4 hours. The question asks for the probability that a lamp will still be burning after 2500 un-checked hours.

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- 1. Forty-nine heat lamps are connected in a greenhouse so that when one lamp fails, another takes over immediately. (only one lamp is turned on at any time) The lamps operate independently, and it is known that the lamps in general have a mean life of 50 hrs and a standard deviation of 4hrs. If the greenhouse is not checked for 2500 hrs after the lamp system is turned on, what is probability that a lamp will be burning at the end of the 2500-hour period? Solution =50 =4 p(x>2500)=p(Z>z)=1-P(Z