Answer
$\mu=\frac{535}{576}=0.929$
Work Step by Step
In the Poisson distribution $\mu$ is the average rate of occurence and then the probability of x successes occuring is: $P=\frac{\mu^k\cdot e^{-\mu}}{x!}$ in which $e\approx2.718$, and the mean and the variance of the distribution are both $\mu$.
Here, $\mu=\frac{535}{576}=0.929, x=2.$