$34.$ Companies and institutions across industries understand that

it is less expensive to prevent cyber attacks than it is to repair the damage if they happen. A researcher finds that two out

of three large corporations earmark at least $5\%$ of their

IT budgets for cybersecurity. His survey was based on

$1,000$ large companies. What is the probability that more than

$75$ of $120$ large companies will earmark at least $5\%$ of their IT

budgets for cybersecurity?