A Bing Community thread has Bing's program manager, Brett Yount, saying that they do not index the destination pages of a 302 redirect. Let me quote you what he said:
We do not index 302 redirected pages, so this is probably the main issue for not indexing your home page.
The site in question here is www.kerala.travel. As you can see, as I write this post, the site is not indexed by Bing.
Now, I assume Brett meant to say that a 302 redirect to a page will not block the page from being indexed. But rather, if the only way for Bing to crawl to the page is via a 302 redirect, Bing will not index it. If there are other links to the destination page, then Bing will likely index it.
Or maybe I am wrong and Bing will not index 302 redirected pages.
Forum discussion at Bing Community.