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【General guidance】The answer provided below has been developed in a clear step by step manner.Step1/3We can use the formula for z-score to solve this problem:\( \mathrm{{z}=\frac{{{X}-μ}}{σ}} \)where X is the original grade of Zeus, μ is the original mean, σ is the original standard deviation, and z is the corresponding z-score.Explanation:Please refer to the steps for a detailed explanationExplanation:Please refer to solution in this step.Step2/3We want to find X given that the new mean is 62, the new standard deviation is 9, and Zeus' new grade is 10 marks higher than his original grade. So we have:\( \mathrm{{X}+{10}={62}+{9}\times{z}} \)Solving for z, we get:\( \mathrm{{z}=\frac{{{X}+{10 ... See the full answer