Women's heights are normally distributed with mean of 63.5in and standard deviation of 2.8in. Men's heights are normally distributed with a mean of 67.7in and standard deviation of 2.9in.
Height requirement for the amusement park has a minimum of 4ft 9in and max of 6ft 4in. Find the percentage of women meeting and requirement, men meeting the height requirement and if the requirements are changed to exclude only the tallest 5% of men and the shortest 5% of women, what are the new min and max height requirements? Please show solution.