Q32Single correct3 Marks3 Sep 2023Let X1,X2,…,X100∼Uniform(0,θ)X_1, X_2, \dots, X_{100} \sim \text{Uniform}(0, \theta)X1,X2,…,X100∼Uniform(0,θ). Which of the following is an unbiased estimator for θ\thetaθ?Aθ^=X1+X3+X5+⋯+X99100\hat{\theta} = \frac{X_1 + X_3 + X_5 + \dots + X_{99}}{100}θ^=100X1+X3+X5+⋯+X99Bθ^=X1+X2+X3+⋯+X100100\hat{\theta} = \frac{X_1 + X_2 + X_3 + \dots + X_{100}}{100}θ^=100X1+X2+X3+⋯+X100Cθ^=X1+X2+X3+⋯+X10050\hat{\theta} = \frac{X_1 + X_2 + X_3 + \dots + X_{100}}{50}θ^=50X1+X2+X3+⋯+X100Dθ^=X1+X2+X3+⋯+X100\hat{\theta} = X_1 + X_2 + X_3 + \dots + X_{100}θ^=X1+X2+X3+⋯+X100
