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The recent average starting salary for new postgraduate university graduates in environmental sciences in the UK is 47,500. Assume salaries are normally distributed with a

The recent average starting salary for new postgraduate university graduates in environmental sciences in the UK is 47,500. Assume salaries are normally distributed with a standard deviation of 4,500.

(a) What is the probability of a new postgraduate receiving a salary between 45,000 and 50,000?

(b) What is the probability of a new postgraduate getting a starting salary in excess of 55,000?

(c) What percent of starting salaries are no more than 42,250?

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