Given a Z-score of 2.99, what percentage corresponds to that z-score?

A Z-score of 2.99 represents how many standard deviations a value is from the mean in a standard normal distribution. To find the percentage corresponding to a Z-score of 2.99, we look up the cumulative probability (area under the curve) to the left of 2.99 in the standard normal distribution table.

Using a Z-table or a normal distribution calculator:

- The cumulative probability for a Z-score of 2.99 is approximately **0.9986**, or **99.86%**.

This means that 99.86% of the data lies below a Z-score of 2.99.

Would you like to explore more details on how Z-scores relate to percentages, or have any other questions?

### Related Questions:
1. How do you interpret a Z-score in terms of probability?
2. What percentage of data falls between a Z-score of -1 and 1?
3. How do you calculate a Z-score given a data point and distribution parameters?
4. What Z-score corresponds to the 95th percentile?
5. How do Z-scores apply in hypothesis testing?

### Tip:
The farther the Z-score from 0, the more extreme the value is compared to the mean in a normal distribution.

Given a Z-score of 2.99, what percentage corresponds to that Z-score?

Discover how to find the percentage corresponding to a Z-score of 2.99 using the cumulative distribution function in a standard normal distribution. This problem involves Z-scores, probability, and statistics, suitable for high school students.

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