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The time taken for Year 13 students to solve a certain problem in Mathematics follows a normal distribution with standard deviation of 40 seconds. It

The time taken for Year 13 students to solve a certain problem in Mathematics follows a normal distribution with standard deviation of 40 seconds. It is found that 78% of the students solve the problem in less than 5 minutes. Calculate the mean time taken by the Year 13 students to solve the mathematical problem.

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