Indicate whether the following cyclization, conducted under thermal conditions, is symmetry allowed. Justify your answer by showing whether the overlapping orbitals in the transition state generate a symmetry-allowed or symmetry-forbidden scenario. Treat ethylene as the nucleophile. 
Definitions:
P(X = x, Y = y)
The joint probability of two discrete random variables X and Y taking on specific values x and y, respectively.
Uniform Distribution
A type of probability distribution where all outcomes are equally likely to occur within a defined range.
Density Function
A mathematical function that describes the probability distribution of a continuous random variable, showing the likelihood of different outcomes.
Area
Refers to the extent of a two-dimensional surface within a boundary, measured in square units.
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