Question

Let $X_1, X_2, X_3$ be a random sample from a Poisson distribution with mean $\lambda$, $\lambda > 0$. For testing $H_0: \lambda = \frac{1}{8}$ against $H_1: \lambda = 1$, a test rejects $H_0$ if and only if $X_1 + X_2 + X_3 > 1$. The power of this test is equal to __________ (round off to 2 decimal places).

Answer 1

The correct Answer is : 0.79 -0.81(Approx.)