The amount of time it takes (in minutes) to observe 10 pedestrians use a particular crosswalk can be modeled with a gamma distribution with ???? = 10 and ???? = 1 2 . a) What is the probability that it takes fewer than 10 minutes to observe 10 pedestrians use this crosswalk? b) 50% of the time, it will take fewer than how many minutes to observe 10 pedestrians use this crosswalk? c) How many minutes can you expect it to take to observe 10 pedestrians use this crosswalk?
Added by James S.
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Using a calculator or software, we get: P(X < 10) = F(10; k = 10, θ = 1/2) ≈ 0.011 Show more…
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