Abstract
Probability and statistics are really important in modern scientific research. They give the basic theories and tools for doing scientific research and are used in lots of different areas, which helps science and society move forward. This paper wants to find out how probability and statistics are used, why they are important, and what the future might hold for them in modern science. It starts by explaining basic concepts and methods like probability distributions and hypothesis testing. Then, it looks at how they are used in medicine, economics, engineering, and other areas. It also talks about why they are important in scientific research, including analyzing data and helping with decisions. Finally, it sums up how crucial probability and statistics are in modern science and suggests ideas for future research. This paper finds that probability and statistics are crucial in modern science and are used in lots of areas like medicine, economics, and sociology. They are not only useful for scientific research, but also for solving practical problems. This study helps us understand how important probability and statistics are in modern science. It gives ideas and insights for improving how people use them, and its useful for researchers to work together across different areas.
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