Answer:To determine what the height needs to be for a curve to be a density curve, we need to consider the properties of a density curve.
A density curve represents the probability distribution of a continuous random variable. It should satisfy the following properties:
1. The curve should always be non-negative: This means that the height of the curve should never be negative. So, any option that has a negative value is not correct.
2. The area under the curve should be equal to 1: The total area under the density curve represents the total probability. Since probability cannot exceed 1, the area under the curve must be 1.
Looking at the options provided, we can see that the only option that satisfies these properties is 1. Therefore, the height needs to be 1 for this curve to be a density curve.
Explanation: