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Assume for a certain population that adult male heights follow a normal distribution with a mean of 68.2 inches and a standard deviation of 3.4 inches. An architect wants to make certain a door is designed to allow 90% of adult males to pass through the door without bending. Find the required height. Let X represent the height of an adult male from this population. 3. Identify the given values symbolically and identify the distribution using the notation shown in lecture. b. Sketch the situation and find the required value of X. Remember to write your Tl83/84 entry. Round the final numeric answer to 1 decimal place. c. If the architect designs a door with height then 90% of adult males will be able to pass through without bending