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The heights of residents living in a college can be said to be normally distributed with mean 176.3 cm and standard deviation 12.2 cm. Astudent,

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The heights of residents living in a college can be said to be normally distributed with mean 176.3 cm and standard deviation 12.2 cm. Astudent, Adi, is 163.3 cm tall. a) Compute the standardised value or z-score corresponding to Adi's height. {Enter your answer correct to at least 4 decimal places) b) Hence, compute the proportion of residents who are shorter than Adi. (Enter your answer correct to at least 2 decimal places) It is known that Kevin, another college student, is taller than 36% of the residents in the college. 0) How many standard deviations below or above the mean is Kevin's height? Enter a negative value if below the mean and enter a positive value if above the mean. (Enter your answer correct to at least 4 decimal places) d) Hence, compute Kevin's height. cm {Enter your answer correct to at least 2 decimal places in centimeters}

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