is the drawn diagram right for detecting a sequence of three or more 1's?
Yes, they are the same. In a Moore machine, the outputs are associated with the states, while in a Mealy machine, they are associated with the edges.

This means that a Mealy machine can often have fewer states than the corresponding Moore machine. In this specific example, your states s2 and s3 could be combined, since they have the same set of output edges &mdash; you would see this if you were to include the missing edges.

That's not to say that the Mealy machine has fewer flip-flops! In addition to the flip-flops that hold the internal state, each output needs a flip-flop, too. In this example, the Moore machine requires two flip-flops, but the Mealy machine requires a total of three.