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The amount of time (in minutes) that Dr. Swift spends helping each student that visits during...

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 θ = 11. The
time helping each student is independent of the time helping any other student.
(a) When he arrives for office hours on Monday, there is 1 student waiting for help. What
is the probability Dr. Swift spends at least 25 minutes helping this student?
(b) When he arrives for office hours on Tuesday there are 2 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?
(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?

math   Statistics-And-Probability   
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Answer #1

The @moo o f tim 66ics. hours is a road on, variab a, To find P(x 2 2 S) = 1-F (25)

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