Wednesday

July 23, 2014

July 23, 2014

Posted by **Patricia Marzetta** on Tuesday, April 30, 2013 at 11:14am.

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**, Tuesday, April 30, 2013 at 11:37am300 miles is -80/60 = -1.33σ from the mean

320-400 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 Z-table grapher and solver can be found at

http://davidmlane.com/hyperstat/z_table.html

- Math Probability -
**Patricia Marzetta**, Tuesday, April 30, 2013 at 11:51amVery nice. that Z-grapher helped. :)PZ

**Related Questions**

math - on a drive through allegheny county,natalie drove due west for 9 miles,...

Main Ideas - Both Seagulls and wild geese are large birds. They're also similar ...

math - a tire manufacturer believes that the tread life of its tires are ...

Math & Stats - Please help I was up till 2am trying to figure this out last ...

statistics - Distance travelled in a week by sales staff employed by nationwide ...

math - This is a question on a study guide for a test tomorrow. How do you do it...

Math - This is a question on a study guide for a test tomorrow. How do you do it...

Statistics - Distance travelled in a week by sales staff employed by nationwide ...

statistics - Distance travelled in a week by sales staff employed by nationwide ...

Math - You invent a new system to make excellent racing tires for the ...