Mathematics « Commuters Abroad

May 21, 2009

What is the probability of a randomly selected commuter spends more than 30 minutes a day commuting one way?

Filed under: Mathematics — Tags: 30 Minutes, Probability, Standard Deviation — chatyak @ 1:13 pm

Mo P asked:

The average commute to work is 25.5 minutes. Commuting is normally distributed with a standard deviation of 6.1 minutes.

Comments (1)

May 14, 2009

Probability of two elements of a group commuting?

Filed under: Mathematics — Tags: Brain, Fist, Two Elements — chatyak @ 1:35 am

MathNerd asked:

I’m being really dumb tonight I think….my brain isn’t working. Any help on this problem:

Let G be finite and have exactly k conjugacy classes. Show that the probability that two randomly chosen elements of G commute with each other is exactly k/|G|. The second element is to be randomly chosen after the fist is replaced.

Comments Off