Probability values and z scores

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To find the z-score from a given probability, refer to the probability column in a z-table to locate the corresponding z-score. If using software, utilize the NORMINV function or its equivalent for the inverse normal distribution. This process allows for the conversion of probability values back to z-scores effectively. Understanding this relationship is crucial for statistical analysis. Mastering these calculations enhances proficiency in interpreting data distributions.
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Can someone explain how to do this. I am totally stuck.
How do you find the z score of you are given the probability? I understand and can calculate the p value from the z score but cannot seem to do it in the opposite direction
Thanks
 
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Look up the probability in the "probability" column of the table and take the corresponding z-score. If you are using a software package, look for something like NORMINV, the inverse normal distribution function.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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