A room is equipped with four led light bulbs. The lighting system is programmed so that one led bulb is le until it burns out and the next is switched on. This process continues until all four bulbs burn out. The life of each bulb is exponentially distributed with a mean of three years. Find the pdf fx of the continuous rv X

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Chapter1: Starting With Matlab
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3. A room is equipped with four led light bulbs. The lighting system is programmed so that one led bulb is left on
until it burns out and the next is switched on. This process continues until all four bulbs burn out. The lifetime
of each bulb is exponentially distributed with a mean of three years. Find the pdf fx of the continuous rv X, the
time when the last bulb burns out.
Transcribed Image Text:3. A room is equipped with four led light bulbs. The lighting system is programmed so that one led bulb is left on until it burns out and the next is switched on. This process continues until all four bulbs burn out. The lifetime of each bulb is exponentially distributed with a mean of three years. Find the pdf fx of the continuous rv X, the time when the last bulb burns out.
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