Hunter specs for raiding, doing the math

I hit 600 agility the other day unbuffed. It made me remember when I went over 300 raid buffed for the first time... Ah, memories... But it also made me wonder what spec is best for the raid. As much as I love having high personal DPS, if I could lower my own to overall raise the output of the raid, I would. I considered how much the three hunter raid/party buffs will increase raid DPS and how often, and under what circumstances, the buff will occur. The three buffs are Ferocious Inspiration for Beast Master hunters, Trueshot Aura for Marksmen, and Expose Weakness for Survival spec hunters. The numbers are based on a number of assumptions, in a 25 man raid.

Ferocious Inspiration ... On pet crit, raises all damage by party members by 3% for 10 seconds. FI affects all damage; dots, spells, physical. I have about 650 DPS with a plain shot rotation, so the FI buff is 19.5 DPS for me. Burning some cooldowns, I can hit 1100 DPS, so 33 DPS bonus. Assuming the other 4 people in my group are about the same, FI is +97.5 to +165 raid DPS.

I took the data from my guild's 4/27 Serpentshrine Caverns raid, figuring this was an average raid with average buffs to figure my pet has about 13% chance at landing a critical hit. I took his total crits over the total hits, rather than considering the crit chance of the individual abilities.

My cat has 1.26 second attack speed. He also does Bite (10 second cooldown), Claw (1 sec GCD), and Kill Command (5 sec CD). In 10 seconds, he'll have 8 autoattacks, 1 bite, hopefully 2 KCs, and depending on focus regeneration, maybe 6 claws. 17 hits in 10 seconds. So on each hit, there's overall a 87% that it WON'T be a crit. A 9% chance (.87^17) that FI will NOT be reapplied while it's already active.

Trueshot Aura grants 125 AP to your party, which is 8.9 DPS for a hunter (AP/14 = 1 DPS for a hunter, AP/15 for a rogue; we'll use AP/14 for all to make it easier). +44.6 raid DPS if I'm grouped with all physical damage dealers. TSA stinks... It's great before you have the gear to support a different spec. Hopefully they'll change it to scale with hunter AP and drastically increase the range of effect. It's totally overshadowed by EW. It's a buff to the player though, so useful if party members are not attacking the same thing at the hunter.

Expose Weakness applies a debuff to the mob that increases AP against it by 25% of the hunter's agility, lasting 7 seconds. At 600 unbuffed agility, EW would be 150 AP. If I had EW, I'd have 15% more agil from other talents, so 690 agility and 172 AP, 12 DPS. Assume the raid has 14 DPSers in the raid (not sure of the actual numbers) and half of them (7) will be able to use the buff from EW (physical damage dealers, not mage/warlock/boomkin), so +86.2 raid DPS up to +120 if there are 10 physical DPSers. Other classes will get more or less out of the 172 AP than a hunter.

EW with 3 talent points has a 100% application chance, as long as the hunter shoots the target once every 7 seconds. FI depends on the pet's survival and a pet crit. TSA is always active (while the hunter lives).

It's hard to say which is a better raid buff, except we can all agree TSA sucks.

Trueshot Aura is better if... A) You can't do more than 300 DPS total (to defeat FI) or B) you have under 500 agil after all telents and buffs (to defeat EW).

Expose Weakness is better if... A) The hunter has super high agility (750+ after all buffs), B) the raid is heavy on physical DPSers, C) the fight isn't pet-friendly (Leotharas, Void Reaver, etc) so the pet can't survive in range of the target to land a crit.

Otherwise Ferocious Inspiration is the best DPS boost.