Question

for a standard normal distribution, use your calculator to find:
p(z < -0.77) =
round answer to at least 4 decimal places.

Explanation:

Step1: Use the normalcdf function on the calculator

For a standard normal distribution \(Z\sim N(0,1)\), to find \(P(Z < - 0.77)\), we use the normal cumulative distribution function. On a TI - 84 Plus calculator, we enter normalcdf(-1E99,-0.77,0,1) (where \(-1E99\) represents \(-\infty\), the mean \(\mu = 0\), and the standard deviation \(\sigma=1\)).

Step2: Calculate the value

When we calculate normalcdf(-1E99,-0.77,0,1) on the calculator, we get \(0.2206\) (rounded to four decimal places).

Answer:

\(0.2206\)