If t 1 follows a t-distribution with 10 degrees of freedom and t 2 a t-distribution with

Question:

If t₁ follows a t-distribution with 10 degrees of freedom and t₂ a t-distribution with 5 degrees of freedom, determine which probability will be greater (no computation necessary).
a) P(t₂ > 1.12) versus P(t₁ > 1.12)
b) P(t₂ < −0.71) versus P(t₁ < −0.71)
c) P(t₂ < 2.4) versus P(t₁ > −2.4)
d) P(−0.75 ≤ t₂ ≤ 0.75) versus P(−0.75 ≤ t₁ ≤ 0.75)