Male or female increasing pull-up power and strength is possible so there is no need to make excuses.
It's a fact increasing pull-ups will make you stronger, more functional and help balance out your muscles, keep in mind we do so many different pushing exercises we need to do some pulling ones too.
Increasing pull-up power and strength builds muscle in the back, your shoulders, your arms, and don't think you won't get a great grip work out too, the longer you are on the bar the stronger your grip becomes.
Even if your someone that can't even do one pull up yet don't worry about it just use some assistance.
Find something to stand on a box or chair and use your legs to help push you up.
Plus work at negatives-coming down from the bar and resisting all you can.
Just hanging from the bar is a great way to increase your strength and work up to better number of reps plus you can also do this and just pull like crazy until the day comes when your able to do a pull-up yourself! Make a point of practicing a full range of motion, all the way to the top, chin up and over the bar then all the way back down, arms fully extended.
For beginner a medium grip is recommended.
Training the same body part 5 days a week is perfectly fine because we are talking about body weight exercises here not pumping iron in the gym, there is no need for split sets and resting X number of days before hitting the same muscle group again.
You never see monkeys taking a days off do you?Seriously, If you train this way with you'll have great results.