X-Git-Url: https://code.communitydata.science/stats_class_2019.git/blobdiff_plain/dbde6a6880af749afd92848e06128fe161159d0b..bd9eba025b1137bb6497a56ad3f5634ff411058e:/problem_sets/week_03/ps3-worked_solution.Rmd diff --git a/problem_sets/week_03/ps3-worked_solution.Rmd b/problem_sets/week_03/ps3-worked_solution.Rmd index 76e2c63..0004b6a 100644 --- a/problem_sets/week_03/ps3-worked_solution.Rmd +++ b/problem_sets/week_03/ps3-worked_solution.Rmd @@ -302,6 +302,6 @@ choose(10,2)*0.07^2*0.93^8 (d) Is random assignment to tents likely to ensure $\leq1~arachnophobe$ per tent? - Random assignment and the independence assumption means that the answer to part c is the inverse of the outcome we're looking to avoid: $P(\gt1~arachnophobes) = 1-P(\leq1~arachnophobe)$. So, $P(\gt1~arachnophobes) = 1-0.84 = 0.16 = 16\%$. Those are the probabilities, but the interpretation really depends on how confident the camp counselor feels about a $16\%$ chance of having multiple arachnophobic campers in one of the tents. + Random assignment and the independence assumption means that the answer to part c is the complement of the outcome we're looking to avoid: $P(\gt1~arachnophobes) = 1-P(\leq1~arachnophobe)$. So, $P(\gt1~arachnophobes) = 1-0.84 = 0.16 = 16\%$. Those are the probabilities, but the interpretation really depends on how confident the camp counselor feels about a $16\%$ chance of having multiple arachnophobic campers in one of the tents.