Type II error for a lower-tail test at true mean 190

An engineer tests $H_0: \mu = 200$ against $H_1: \mu < 200$ with a known $\sigma = 30$, a sample of $n = 36$, at the one-sided 5% level. Suppose the true mean is actually $\mu = 190$.

Find the Type II error rate $\beta$ (the probability the test fails to reject even though $H_0$ is false).