1. Consider the approximately normal population of heights of male college students with mean 𝜇 = 64 inches and standard

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1. Consider the approximately normal population of heights ofmale college students with mean 𝜇 = 64 inchesand standard deviation of 𝜎 = 3.4 inches. Arandom sample of 19 heights is obtained.
(a) Find the proportion of male college students whoseheight is greater than 72 inches. (Round your answer tofour decimal places.)(b) Find the mean of the x distribution. (Roundyour answer to the nearest whole number.)(c) Find the standard error ofthe x distribution. (Round your answer to twodecimal places.)(d) Find P(x > 71). (Round youranswer to four decimal places.)(e) Find P(x < 69). (Round youranswer to four decimal places.)