Type A, type B, and type C lightbulbs are lasting longer today than ever before. On average, the number of bulb hours for a type C bulb is 18 times the number of bulb hours for a type B bulb. The number of bulb hours for a type A bulb is 1100 less than the type B bulb. If the total number of bulb hours for the three types of lightbulbs is 78900 , find the number of bulb hours for each type.

Question

Mathematics

Alexia Morris

12 March, 06:11

Type A, type B, and type C lightbulbs are lasting longer today than ever before. On average, the number of bulb hours for a type C bulb is 18 times the number of bulb hours for a type B bulb. The number of bulb hours for a type A bulb is 1100 less than the type B bulb. If the total number of bulb hours for the three types of lightbulbs is 78900 , find the number of bulb hours for each type.

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Answers (1)

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Maximilian Chandler · Answer 1

Step-by-step explanation:

Let and be independent random variables representing the lifetime (in 100 hours) of Type A and Type B light bulbs, respectively. Both variables have exponential distributions, and the mean of X is 2 and the mean of Y is 3.