In: Statistics and Probability
1. The time for a squirrel to run the 100m dash is normally distributed with μ= 18.6 seconds and σ =.8 seconds.Suppose that Daniel can run a 100m dash in 17.0 seconds.
(a)Draw a sketch of the distribution.
(b)What proportion of squirrels can run the 100m dash faster than Daniel?
(c)(Di and Jane run the 100m dash in 18 and 19 seconds respectively. What is the combined proportion of squirrels who run the 100m dash either A) faster than both Di and Jane or B) slower than both Di and Jane? (Report as 1 proportion.)
(d)What is the slowest a squirrel could run the 100m dash to be in the fastest 15% of squirrels?