The image shows a problem that asks for the area of the shaded region under the standard normal distribution curve. The graph depicts a standard normal distribution with a mean of 0 and a standard deviation of 1. The shaded area is between the z-scores of $z = -0.93$ and $z = 1.28$.

To find the area of the shaded region:

1. Look up the cumulative probabilities:

   • For $z = -0.93$: The cumulative probability (from a standard normal table or using a calculator) is approximately $0.1762$.
   • For $z = 1.28$: The cumulative probability is approximately $0.8997$.

2. Calculate the area between the z-scores: $\text{Area} = P(z = 1.28) - P(z = -0.93) = 0.8997 - 0.1762 = 0.7235$

Thus, the area of the shaded region is approximately 0.7235.

Would you like more details or have any other questions?

Related Questions:

1. How do you find areas under the standard normal curve for different z-scores?
2. What does the area under the normal curve represent in probability terms?
3. Can you explain how to use the cumulative distribution function (CDF) for normal distributions?
4. What is the empirical rule and how does it relate to standard deviations and areas under the normal curve?
5. How does changing the mean and standard deviation affect the shape of a normal distribution?

Tip:

Always round your z-scores and areas to at least four decimal places for precision, especially in statistical analysis.