1. **State the problem:** Find the probability that a standard normal variable $Z$ lies between $-0.92$ and $1.75$. 2. **Recall the formula:** For a standard normal variable $Z$, the probability between two values $a$ and $b$ is given by: $$P(a < Z < b) = \Phi(b) - \Phi(a)$$ where $\Phi(x)$ is the cumulative distribution function (CDF) of the standard normal distribution. 3. **Find the CDF values:** Using standard normal tables or a calculator, $$\Phi(-0.92) \approx 0.1788$$ $$\Phi(1.75) \approx 0.9599$$ 4. **Calculate the probability:** $$P(-0.92 < Z < 1.75) = 0.9599 - 0.1788 = 0.7811$$ 5. **Interpretation:** There is approximately a 78.11% chance that the standard normal variable $Z$ falls between $-0.92$ and $1.75$.