A group of students at a school takes a history test. The distribution is normal with a mean of 25 and a standard deviation of 4.

A group of students at a school takes a history test. The distribution is normal with a mean of 25 and a standard deviation of 4. Everyone who scores in the top 30% of the distribution gets a certificate. What is the lowest score someone can get and still earn a certificate? The top 5% of the scores get to compete in a statewide history contest. What is the lowest score someone can get and still go onto compete with the rest of the state?