Heidi statistician core like study evolution marmot population V 1v100 village so come spring Heidi see snowdrop sprout meadow barn impatiently don snowshoes set Alps welcome friend marmot new season thrill adventuresarriving village Heidi ask marmot come number inhabitant village this year marmot decide play April Fools joke Heidi instead consistently provide exact number inhabitant p 10p1000 village respond random nonnegative integer k draw type probability distribution Poisson davril distribution probability get answer k k0123 Uniform distribution probability get answer k k0122P Heidi collect exactly 250 answer village every village follow Poisson uniform distribution Heidi tell marmot apart query marmot time time marmot answer new number draw village distributionCan help Heidi find village follow Poisson uniform distribution