question archive The life times, Y in years of a certain brand of lowgradelightbulbs follow an exponential distribution with a meanof 0
The life times, Y in years of a certain brand of lowgradelightbulbs follow an exponential distribution with a meanof 0
Subject:StatisticsPrice: Bought3
The life times, Y in years of a certain brand of lowgradelightbulbs follow an exponential distribution with a meanof 0.75 years. A tester makes random observations of the lifetimes of this particular brand of lightbulbs and records them oneby one as either a success if the life time exceeds 1 year, or as afailure otherwise.Part a)Find the probability to 3 decimal places that the first successoccurs in the fifth observation.Part b)Find the probability to 3 decimal places of the second successoccurring in the 8th observation given that the first successoccurred in the 3rd observation.Part c) Find the probability to 2 decimal places that the firstsuccess occurs in an odd-numbered observation. That is, thefirst success occurs in the 1st or 3rd or 5th or 7th (and so on)observation.
