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The monthly salaries (in ) of employees at Schlumberger oil and gas company are normally distributed with a mean u and a standard deviation 0.

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The monthly salaries (in ) of employees at Schlumberger oil and gas company are normally distributed with a mean u and a standard deviation 0. Whilst 5% of the employees receive a salary less than 3000, two out of 10 employees receive a salary of more than 10000. The average salary is something between 3000 and 10000. a) Sketch a diagram (with 4 ggp} to show the distribution of the salaries for the data given. (4 points) b] Given that for p =0-05: 2= 1 1-6449 and for p = 0-2: Z: i 0-845, determine the average salary N and the corresponding standard deviation 0_ Show your work. (6 points) c) If an employee was randomly selected. what is the probability that they get paid more than 5000? Show your work. {3 points)

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