Type A, type B, and type C lightbulbs are lasting longer today than ever before. On average, the number of bulb hours for a t
ype 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.
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.
