Question

find each of the shaded areas under the standard normal curve using a ti - 84 plus calculator. round the answers to at least four decimal places. part 1 of 4 (a) the area of the shaded region is 0.0059

Explanation:

Step1: Use TI - 84 Plus normalcdf function

For a standard normal distribution $N(0,1)$, to find the area to the left of $z=- 2.52$, we use the normalcdf function on the TI - 84 Plus calculator. The syntax for normalcdf is normalcdf(lower bound, upper bound, $\mu$, $\sigma$). Here, the lower bound is $-\infty$ (we can use a very large negative number like - 1000), the upper bound is $-2.52$, $\mu = 0$ and $\sigma=1$.
normalcdf(-1000, - 2.52,0,1)

Step2: Calculate the result

Using the calculator, we get the value of the area as approximately $0.0059$.

Answer:

$0.0059$