To answer the above questions, I've prepared a few queries.
Queries
To get the data, press Run query
and then choose "Graph" tab. Graphs look like this:

Features
- You can get data for your account alone, so the stats become relevant exactly for your type of questions.
- You can use this across different StackExchange websites. See "Switch sites" on the query's page.
- You can change the frequency of data (within a day, week, or combined).
- Different time frames for the data: for data range and posting timeframes.
Facts from the data
- You are 25% more likely to get an answer if you ask a question in the right time.
- You can increase the number of views of your question by about 15% if you post it at the best moment.
- 62% of accepted answers are given within one hour after asking. 39% are answered within 15 minutes.
- In most cases, data shows same metrics even if taken from the 5-year activity.
Interesting moments
The probability of getting an answer increases with the average time-to-answer

That is, the time good for getting a fast answer is also the time when the probability of getting any answer is lower. Unlike an intuitive expectation that at some times community is active enough to answer questions and go this fast.
The average number of views gives a more explicit time-pattern for longer periods

The problem with that is: in the long-run these pattern of dependence should not arise because posts less and less depend on their posting time, as they are reached through search engines and cross-links.
And the one-year graph shows a very bleak dependence of views from posting time. Perhaps, that's one difference in behavior patterns that appeared over the years on SE.
Questions and comments
Your questions and corrections are welcome.
There're more interesting questions about the community's behavior. Hard to cover any significant fraction of them, but I hope to post more later.