Posted by Patricia Marzetta on .
Super stumped... Help please.
The average distance geese fly south in the winter is approximately 380 miles with a standard deviation of 60 miles. Assuming that the distances are normally distributed, find the probability that a randomly selected goose migrates a distance of:
a. Less than 300 miles
b. Between 320 a 440 miles
c. Greater than 460 miles

Math Probability 
Steve,
300 miles is 80/60 = 1.33σ from the mean
320400 is 1.00σ to + +0.33σ
>460 miles is >1.33σ
So, just go tour standard Z table and read off the values. For the first, you want the area of the left tail at least 1.33σ from the mean: 0.091
A handy Ztable grapher and solver can be found at
http://davidmlane.com/hyperstat/z_table.html 
Math Probability 
Patricia Marzetta,
Very nice. that Zgrapher helped. :)PZ