1. The problem is to find the value of $z$ such that the area to the left of $z$ under the standard normal curve is 0.2119. 2. The standard normal distribution has mean 0 and standard deviation 1, and the area to the left of $z$ is the cumulative distribution function (CDF) value $\Phi(z)$. 3. We want to find $z$ such that: $$\Phi(z) = 0.2119$$ 4. Using the standard normal table or an inverse normal function (e.g., in a calculator or software), find the $z$ value for which the CDF is 0.2119. 5. Looking up or calculating, $z \approx -0.8$ because $\Phi(-0.8) \approx 0.2119$. 6. Therefore, the value of $z$ is approximately: $$z = -0.8$$