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### Probability of a lamp burning after 2500 hours in greenhouse with 49 heat lamps

• 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
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