Bye Bye Playoffs?

It's been a long time posting, but on the afternoon of the NFL schedule being released, a question came to mind.
Does it matter when an NFL team gets its bye? In other words, can a bye week alone determine whether or not an NFL team makes the playoffs?
I looked at all byes from the 2002 to 2009 seasons (since the league went to 32 teams) and looked at what the odds were. A teams odds, everything else being equal, should be 12 playoff teams / 32 teams = 37.5%. I found the following:

Bye # of teams (02-09) # of playoff teams (02-09) %
Week 2 2 1 50
Week 3 20 11 55
Week 4 34 17 50
Week 5 32 8 25
Week 6 36 11 31
Week 7 36 17 47
Week 8 36 10 28
Week 9 34 12 35
Week 10 26 9 35

Based on the following data, if you want to improve your odds, it's best to hope for a bye in weeks 2, 3, 4 and 7.
Does a bye week matter for how deep a team goes in the playoffs? More tomorrow.

Regards,
Steve