Three light bulbs (Red, Green and Blue) are installed in a machine workshop. The red bulb has an exponential lifetime distribution, i.e., EXPO (?). The green bulb has an exponential lifetime distribution, i.e., EXPO (?). The blue bulb has an exponential lifetime distribution, i.e., EXPO (?). The lifetime distributions of three light bulbs are independent. Find the expected time until the last light bulb dies out.

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Answer Let T1 T2 and T3 denote the lifetimes of the red green and blue bulbs respectively Since the lifetimes of the bulbs are independent we can calculate the expected time until the last light bulb ... View the full answer