3 Assume random variable Fnm has a Fdistribution with n m d

3. Assume random variable Fn,m has a F-distribution with n & m degrees of freedom.

a) P{ F10,12 <C}=0.95; C=?

b) P{ F4,6 >C}=0.025; C=?

c) P{ F9,6 <C}=0.01; C=?

d) P{ F3,7 >C}=0.99; C=?

Solution

1) P{ F10,12 <C}=0.95

From the f table value of c =2.753387

2) P{ F4,6 >C}=0.025

1- P{ F4,6 >C}=1-0.025

P{ F4,6 <C}=0.975

the value of c = 6.227161

3) P{ F9,6 <C}=0.01

from standard F table value of c = 0.1723612

4) P{ F3,7 >C}=0.99

1-P{ F3,7 >C}=1-0.99

P{ F3,7 <C}=0.01

from standard F table value of c =  0.03613801