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- Find the expected value and standard deviation for each random variable. z 9 12 15 18 21 P(z) 0.14 0.22 0.38 0.19 0.07Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard deviation of 0.2ft. If the heights are normally distributed, what are the largest and smallest heights of the middle 50 of this population?