Answer to Question #178316 in Statistics and Probability for anis

Question #178316

A teacher realizes that his students' marks on a statistic test are normally distributed with a mean of 62 and a standard deviation of 15. If the teacher wishes to assign minimum marks for grade B is referring to the top 30 per cent of the students' marks in the class, how many marks are required to get a minimum mark for grade B?


1
Expert's answer
2021-04-15T07:52:36-0400

"\u03bc=62 \\\\\n\n\u03c3=15"

Determine the z-score in the normal probability that corresponds with the probability of 1 - 0.3 = 0.70:

"z= 0.52 \\\\\n\nz = \\frac{x-\u03bc}{\u03c3} \\\\\n\nx = \u03bc + z\u03c3 \\\\\n\nx = 62 + 0.52 \\times 15 = 69.8 \u224870"

So, 70 marks are required to get a minimum mark for grade B


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