The "Somewhat Supportive" Dad
The dad who is somewhat supportive wants to help, tries to help, and does a pretty good job at it, but only some of the time. He may change a few diapers, but he can probably count on two hands all the diapers he had to change during his baby's first year. And if he does tackle a more difficult task, such as giving his baby a bath or waking up at night with her, he is likely to give up quickly if it doesn't go well.
This type of dad will just want to help when it is convenient for him. Maybe he will watch his baby while she is sleeping, or after a meal when she is alert and happy. But at other times, especially if a lot of work or crying is involved, he will probably be less likely to help.
Not only does the somewhat supportive dad help infrequently, but when he does do something helpful, he may make his partner feel guilty about it. Instead of being eager to help, this type of dad will probably complain about the work he does and make it seem like it's a hassle. That does make it less likely that he will be asked to help again, but it will also hurt his relationship with his partner.
Don't let yourself become this type of dad, either. Such a halfhearted approach won't get you anywhere in terms of bonding with your child. Also, be sure you realize from the outset that parenting is a full-time job. Your baby will need constant love and attention, and not just from her mother.

