The percent of medical residents less than 28 years old is 69.15%.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 28
μ = mean = 27
σ = standard deviation = 2
z-score = (28 - 27) / 2
z-score = (1) / 2
z-score = 0.5
Find the probability that corresponds to the z-score in the z-table. (see attached images)
at z = 0.5, p = 0.6915
Multiply the probability by 100 to get the percentage.
% = p x 100
% = 0.6915 x 100
% = 69.15
Hence, the percent of medical residents that are less than 28 years old is 69.15%.
Learn more about probability here: brainly.com/question/26822684
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