Answer:
The probability that the proportion of books checked out in a sample of 412 books would differ from the population proportion by less than 4% is P=0.9255.
Step-by-step explanation:
The population's proportion is 
If we take a sample of 412 books (n=412), we have a standard deviation of the sampling distribution of:

We have to calculate the probabilty that the sample proportion will be between 0.25 and 0.33.

209/12 is 17.41, so 12 goes into 209 17 times.
For this case we have that the quotient of 6 and a number, can be expressed as:

Where the variable "x" represents the incognito number.
Now we have that expression is subtracted from 100. Now, we can write the following:

ANswer:
Option A