I am taking a statistics class online question on Power

[Missy Boulton]

I am taking a statistics class and I just cannot keep up, I do not understand what the numbers mean.  In our section on power I am asked 

You hypothesize that, when both a man and a woman are in the front seat of a car, the man is more likely to be driving than the woman.
The null hypothesis is that the man and the woman are driving equally often.

You decide to test the hypothesis by observing cars with both a man and a woman in the front, and counting how many of those have a man driving.

If men are really driving 70% of the time, using a one tailed test at α= .05, what will your power be if you observe 20 cars?

The second question is 

A certain IQ test is known to have a population mean of 100 and standard deviation of 15 in the general population. You want to test whether psychology majors have a different average IQ than the population as a whole. Assume the variance of IQ is the same for Psych majors as it is in the general population.

If Psychology majors actually have an average IQ of 108, what will your power be for a 2-tailed test at α= .05 with a sample of 56 Psychology majors?

(give a numeric answer to at least 3 decimal places)

I would like to know how to work these question? I am not sure what I am looking for, I know I need to use the binomial calc and the normal calc but I just don't understand the steps in answering this question.  I am leaning statistics from the onlinestatsbook.com and we are on chapter 3.  When following the section on example calculations I can not find how to answer these two questions. 

ANY HELP WOULD BE APPRECIATED.. Again I am not looking for a quick answer instead I am looking for the procedure as to how to answer these questions... Thank you in advance for any help on this!