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The amount of time (in minutes) that Dr. Swift spends helping each student that visits during office hours is a random variable having an exponential distribution with 0-11. The (a) When he arrives for office hours on Monday, there is 1 student waiting for help. What (b) When he arrives for office hours on Tuesday there are 2 students waiting for help time helping each student is independent of the time helping any other student. is the probability Dr. Swift spends at least 25 minutes helping this student? Assuming Dr. Swift helps the students sequentially, what is the probability Dr. Swift spends at least 25 minutes combined helping these students? c) When he arrives for office hours on Wednesday there are 3 students waiting for help. Assuming Dr. Swift helps the students sequentially, what is the probability Dr. Swift spends at least 25 minutes combined helping these students?

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The amount of time in Minutes) that Or. Swipt spends helping each student that visits during opfice hours is a Landom Variable having an exponential distribution With θ =11 Gtiven That Time of hours spent on a student İsrandom vaeiable, x having exponential with Mean θ-11 distributed CDF F(x) = p (Xsx) Solv =) a) 25 0, l o 3031 ニ ) There is Tuo student that during there time by X and X2 The Cormbined distribution s 25 This isthe incomplete ammc c) Similar to Past b), Here,

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