The question requires defining a search space that returns a normally distributed value for hyperparameter tuning in Azure Machine Learning. According to the Microsoft documentation referenced in the community discussion, LogNormal is the parameter type that provides a normally distributed value. LogNormal samples values from a log-normal distribution, which is equivalent to taking the exponential of values from a normal distribution, making it suitable for parameters that should be positive and have a log-normal distribution shape. The other options are incorrect: QUniform returns discrete values with uniform spacing, LogUniform returns values from a log-uniform distribution, and Uniform returns values from a uniform distribution, none of which match the requirement for a normal distribution.