Final answer:
The proportion of values of a variable x that fall between 1 and 6 depends on the distribution of x and the characteristics of its density curve. Without a specific density curve or further details, an accurate answer cannot be provided.
Step-by-step explanation:
The question asks for the proportion of values of a variable x that fall between 1 and 6. To solve this, we consider the distribution of x and the characteristics of its density curve. If x has a uniform distribution, then the calculation is straightforward – we simply find the length of the interval from 1 to 6 and divide it by the total length of the distribution's support, assuming the support extends at least from 1 to 6 and that the density curve is constant within that interval.
If x follows a normal distribution, an approximation using z-scores and standard normal distribution would be necessary. However, without a specific density curve image or additional details about the distribution, we can't provide the exact answer.
Based on the choices given and without the explicit density curve image or further details about the distribution of x, it's not possible to provide an accurate answer to the question of what proportion of values fall between 1 to 6.