The speeds of vehicles on a highway with speed limit $100k\frac{m}{h}$ are normally distributed with mean $110k\frac{m}{h}$ and standard

deviation $6k\frac{m}{h}.($Round your answers to two decimal places.$)$

$($a$)$ What is the probability that a randomly chosen vehicle is traveling at a legal speed?

$\%$

$($b$)$ If police are instructed to ticket motorists driving $120k\frac{m}{h}$ or more, what percentage of motorist are targeted?

$\%$