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The top 5 of the scores get to compete in a statewide

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) 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?

(b) 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?

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