Question

The Ents are marching to Isengard. Each Ent’s marching speed is uniformly distributed between 1 and 5 miles per hour. There are currently 50 Ents in the group. Pippin would like to know the probability that their average speed is greater than 3.25 miles per hour.

Answer 1

Date X:-Speed os Eds 2. 1 2 (.33 ns 50 . Sample si3e 30 Hemce sample sizeis larje Cent rad linit dheeremis ng Cen eer en Sample esn disho buhon with 6-2 C63 ebil aNorage speed 자- 完 3.25 2 PZ15328) 0 163) 0.0627

for any uniform distribution with parameters (a, b)

Mean of distribution is (a+b) /2

And variences of the distribution is (b-a) ^2/12