Google Search Book :Free Google Analytics account

Google Analytics designed for webmasters is free tool that tells website owner about how their
visitors are getting to their websites.

Google Analytics gives us an opportunity to invest in our advertisers and everyone else who wants to create quality content on the web. Instead of spending money on web analytics, you can focus on creating targeted, ROI-driven marketing campaigns, and on improving your site design and content.

Again due to strong demand they have limited the number of applicants . However you can still apply for Free Google analytics account at google analytics signup page.