Suppose “Heights of USC Students” follows an approximate normal
distribution with mean 66 inches and standard deviation 3.5 inches. What
proportion of USC students falls below 63 inches? What proportion of
students are taller than 71 inches? Show calculated z-scores.

We are dealing with a normally distributed variable — the heights of USC students. To solve both parts of the problem, we will first compute the **z-scores** for the given heights and then find the corresponding proportions using the standard normal distribution.

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Suppose 'Heights of USC Students' follows an approximate normal distribution with mean 66 inches and standard deviation 3.5 inches. What proportion of USC students falls below 63 inches? What proportion of students are taller than 71 inches? Show calculated z-scores.

Explore how to calculate the proportion of USC students who fall below 63 inches or are taller than 71 inches using the normal distribution. This problem demonstrates the use of z-scores and the standard normal distribution table, with a mean of 66 inches and standard deviation of 3.5 inches. Ideal for high school or college statistics students.

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