Rainfall, Skew, and the CLT

Daily rainfall in a city is strongly right-skewed, with population mean $\mu = 3.0$ mm and population standard deviation $\sigma = 4.0$ mm.

A meteorologist records the rainfall on $n = 64$ randomly chosen days and computes the sample mean $\bar{x}$.

Using the Central Limit Theorem, approximately what is

$P(\bar{x} > 3.5 \text{ mm})?$

Standard normal cumulative values: $\Phi(0.50) = 0.6915$, $\quad \Phi(1.00) = 0.8413$, $\quad \Phi(2.00) = 0.9772$.