Professor d has found that grades on his calculus final exam are normally distri

Question

Professor d has found that grades on his calculus final exam are normally distributed with a mean of 67 and a standard deviation of 8. If precession d wants only 8% of the class to get grades of A, what is the minimum grade needed for a student to get a A? Professor d has found that grades on his calculus final exam are normally distributed with a mean of 67 and a standard deviation of 8. If precession d wants only 8% of the class to get grades of A, what is the minimum grade needed for a student to get a A? Professor d has found that grades on his calculus final exam are normally distributed with a mean of 67 and a standard deviation of 8. If precession d wants only 8% of the class to get grades of A, what is the minimum grade needed for a student to get a A?

Explanation / Answer

Use The standard normal table to calculate first

P(X>x) = 0.08

We will get x = 1.405 (rounded to three decimal places)

So, X value or Minimum grade will be = 1.405*8+67 = 78.24

So, Minimum grade required to get an A is 78.24 (rounded to two decimal places)

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