Select the choice that correctly describes three meanings of the area under a normal density curve to the left of a point $x_0$.

A variable $X$ follows a normal distribution with a mean of $\mu =85$ and a standard deviation of $\sigma =10$. Interpret .

A student has final exam scores in two courses. In statistics, the final scores are approximately normally distributed with mean ${\mu }_S=78$ and standard deviation ${\sigma }_S=9$, and the student scored $88$. In calculus, the final scores are approximately normally distributed with mean ${\mu }_C=82$ and standard deviation ${\sigma }_C=6$, and the student scored $89$. On which course did the student do relatively better under the normal model?

Let $X\sim \text{Bin}(n,p)$. Using the normal approximation with continuity correction, which expression should be used to approximate ?

The heights of a certain species of plant are normally distributed with a mean of $\mu =120$ $\text{cm}$ and a standard deviation of $\sigma =15$ $\text{cm}$. Using the normal model, determine the values of $Q{1}_{}$ and $Q{3}_{}$ for plant height.