(Solved): please explain part c with steps The heights of residents living in a college can be said to be nor ...

The heights of residents living in a college can be said to be normally distributed with mean $180.8\mathrm{cm}$ and standard deviation $12.3\mathrm{cm}$. A student, Austin, is $160.3\mathrm{cm}$ tall. a) Compute the standardised value or $z$-score corresponding to Austin's height. (Enter your answer correct to at least 4 decimal places) b) Hence, compute the proportion of residents who are taller than Austin. (Enter your answer correct to at least 2 decimal places) It is known that Rohan, another college student, is taller than $92\%$ of the residents in the college. c) How many standard deviations below or above the mean is Rohan'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 Rohan's height.