Question

Ages of Proofreaders At a large publishing company, the mean age of proofreaders is 36.2 years and the standard deviation is 3.7 years. Assume the variable is normally distributed. Round intermediate z-value calculations to two decimal places and the final answers to at least four decimal places.

If a proofreader from the company is randomly selected, find the probability that his or her age will be between 35.5 and 37 years.

Answer 1

Let X denote the random variable representing the Ages of Proofreaders at the publishing company.

Now, we are given that the mean age of proofreaders is 36.2 years and standard deviation 3.7 years. Also we are given that the variable is normally distributed. Thus, we get:

Now, the probability that a randomly selected proofreader from the company will have age between 35.5 and 37 years is given by:

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