Question: The heights of 1200 Navy officers were measured. The distribution of heights was found to approximate a normal distribution with a mean = 175 cm and a standard deviation = 5 cm. Determine:

1. The proportion of navy officers with heights between 170cm and 180cm (Hint: draw a distribution curb and note information).
   (where \(\Phi \left( x \right)\) corresponds to the cumulative standard normal distribution function). This means that the proportion of navy officers that are between 170cm and 180cm height is 0.682689
2. The percentage of Officers with heights greater than 183.5 cm
3. The approximate number of Officers with heights greater than 185cm

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