4. A decorative display uses inexpensive mass produced colored lights having constant failure rate of 1000 per million per day. Assume that such a display is designed with 2000 such lights that are all turned on at the same time. The lights are so connected that failure of one does not affect the operation of others. a) How many lights can be expected to still be operational after 90 days? b) Determine the mean time to failure of any given light. c) Determine the probability that any given light will fail within the first 100 days after turn on and also that 20 lights will do likewise. d) Repeat part c) replacing 1000 days for 100 days. e) Determine the time that can be expected to elapse (from turn on) before the display has only one operational light left.
4. A decorative display uses inexpensive mass produced colored lights having constant failure rate of 1000 per million per day. Assume that such a display is designed with 2000 such lights that are all turned on at the same time. The lights are so connected that failure of one does not affect the operation of others. a) How many lights can be expected to still be operational after 90 days? b) Determine the mean time to failure of any given light. c) Determine the probability that any given light will fail within the first 100 days after turn on and also that 20 lights will do likewise. d) Repeat part c) replacing 1000 days for 100 days. e) Determine the time that can be expected to elapse (from turn on) before the display has only one operational light left.
Chapter29: Service-entrance Calculations
Section: Chapter Questions
Problem 3R: a. What is the ampere rating of the circuits that are provided for the small-appliance loads? _____...
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Transcribed Image Text:4. A decorative display uses inexpensive mass produced colored lights having constant failure rate of
1000 per
million per day. Assume that such a display is designed with 2000 such lights that are all
turned on at the same time. The lights are so connected that failure of one does not affect the
operation of others. a) How many lights can be expected to still be operational after 90 days? b)
Determine the mean time to failure of any given light. c) Determine the probability that any given
light will fail within the first 100 days after turn on and also that 20 lights will do likewise. d) Repeat
part c) replacing 1000 days for 100 days. e) Determine the time that can be expected to elapse (from
turn on) before the display has only one operational light left.
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