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hi there now for this question were told that the heights of a population of women are normally distributed with a mean mu centimeters and standard deviation Sigma centimeters and it is known that 30% of the women are taller than 172 centimeters and 5% are shorter than 154 centimeters and in the first part weve got to sketch a diagram to show the distribution of Heights represented by this information for three marks and then in Part B we need to show that the mean mu equals 154 plus one point six four four nine times Sigma for three marks so if youd like to have a go at this Im done so already just give you a moment to pause the video when you come back you might want to fast forward just to check your answer or Ill take you slowly through the work solution okay welcome back then if you had a go now the first thing Id want to do is to define a random variable and Im going to say let X be that random variable let X be the random variable RV for short and its going to be the he
