Those are relatively straight forward problems IF you are taking a statistics class (If not, where did you get these problems!).
You will need a table or graph of the "standard normal distribution". There is one at
standard normal distribution table - Bing images.
You have, for females, mean mu= 54.4 inches and standard deviation sigma= 2.7 inches and, for males, mean mu= 55.5 inches standard deviation, sigma= 2.7.
For boys the 55.5 inch requirement to drive corresponds to the "standard normal" value (55.5- 54)(2.7)= 0.555. On the table 0.555 has probability 0.2065 (halfway between 0.2008 and 0.2123). Since that is positive and the mean has probability 1, the probability a boy can drive is 0.5+ 0.2065= 0.7065.
For the girls the 54 inch requirement corresponds to "standard normal" value (54.4- 54)(2.7)= 0.1481. On the table, 0.1481 has probability 0.0596. The probability a girl can drive is 0.5+ 0.0596= 0.5596.
The other problems are done in the same way.
