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Answer :
Due to a lack of a probability distribution, we cannot calculate the specific probability of a Japanese woman having no children based on the average fertility rate alone. However, we can infer a nonzero probability as the average suggests there are some women with no children.
The question is about determining the probability that a randomly chosen Japanese woman has no child, given the average number of children a Japanese woman has is 1.37. This type of problem involves statistical analysis and understanding of total fertility rate and probabilities. Unfortunately, without a probability distribution, we cannot directly calculate the probability that a woman has no children just from the average alone. Typically, to answer such a question accurately, we would need more data, such as a full distribution of the number of children Japanese women have.
In the absence of additional data, we cannot provide the specific probability that a randomly chosen Japanese woman has no children. However, we can infer that the probability is nonzero since the average number of children is greater than zero but less than two, which implies that some women will have zero children and some will have one or more.
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