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The monthly salaries of the employees of a company are normally distributed with a mean of $30,000 and a standard deviation of $5,000. Let be

The monthly salaries of the employees of a company are normally distributed with a mean of $30,000 and a standard deviation of $5,000. Let be monthly salary of a random selected employee.

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2. [6 marks] The monthly salaries of the employees of a company are normally distributed with a mean of $30,000 and a standard deviation of $5,000. Let X be monthly salary of a random selected employee. ~ (a) [2 marks] What is the probability that a randomly selected employee will have a monthly salary of at least $35,000? (b) [2 marks] What is the salary level that 95% of the employees are higher than?~ (c) [2 marks] If n of the employees have monthly salaries of at least $40,000, how many individuals are employed in the company? Note that n is the last two digits of your student ID. For example, if your student ID is 20197043G, then n = 43; if your student ID is 20197003G, then n = 3. ~

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