The Chebyshev Moment Problem is a mathematical question concerning the existence of a probability measure that corresponds to a given sequence of moments. Moments are statistical measures that provide information about the shape of a distribution, such as its mean and variance. The problem seeks to determine whether a sequence of moments can be derived from a valid probability distribution. This problem is named after the Russian mathematician Pafnuty Chebyshev, who made significant contributions to probability and statistics. The Chebyshev Moment Problem has applications in various fields, including statistics, physics, and engineering, where understanding distributions is crucial for analysis and modeling.