Probability answer verification for normal distribution

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Question: The mean height of a group of 200 people is 164cm with a standard deviation of 6cm. Assuming the heights are normally distributed find the probability of a person’s height being:

(i) less than 164cm
(ii) more than 166cm
(iii) greater than 176cm

Answers:
(i) 0.5
(ii) 0.3707
(iii)0.0228

Here are my workings: https://i.stack.imgur.com/bZXlg.jpg