Suppose we have two unbiased estimators T1 and T2 of φ(θ) in R. Show that αT1+(1-α)T2 is also an unbiased estimator of φ(θ) whenever α is in [0,1].

Problem
Suppose we have two unbiased estimators T1 and T2 of φ(θ) in R. Show that αT1 + (1 − α)T2 is also an
unbiased estimator of φ(θ) whenever α is in [0,1].
Solution
Given that T1 and T2 are unbiased estimator of φ(θ) in R.
That is E(T1) = φ(θ) for all θ and E(T1) = φ(θ) for all θ.
Let T =...