[?] Find quantiles for F distribution?

Questions
1

Hello, suppose i want to find qunatile for F distivution with the degree of fredom d1=2 d2=12 and 0.95 probability, And it must equal 3.89. But with my code i get 0.35. What’s wrong with my code?

In[36]:= Clear["Global`*"]

x = 1-0.05;
c = PDF[FRatioDistribution[2 (1), 2 (6)], x]
  
Out[48]= 0.357409
2

Something like this?

NSolve[CDF[FRatioDistribution[2, 2*6], x] == 1 - 0.05, x]
(*{{x -> 3.88529}}*)

Cheers,
Marco

3

Of course, there is a more direct way:

Quantile[FRatioDistribution[2 (1), 2 (6)], 0.95]

which give the same.

Cheers,

Marco