[Math] Normal Distribution Stats percentage

normal distributionstatistics

I already know the answer of the following question, but not able to figure out how it's done. If someone can tell me it would be highly appreciated.

"The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. A citation catfish should be one of the top 2% in weight. Assuming the weights of catfish are normally distributed, at what weight (in pounds) should the citation designation be established?"

The correct answer is 4.84 pounds

Best Answer

Have a TI calculator? Then the answer should be $invnorm(0.98, 3.2, 0.8)$. The syntax for invnorm is (area to the left, mean, std deviation). Since area to the right is 2%, then area to the left is 1-2% = .98