Math Problem Statement
For a standard normal distribution, find:
P(z < 1.79)
Solution
To find for a standard normal distribution, we look up the z-score of in the standard normal distribution table, or we can use statistical software or a calculator.
For a standard normal distribution:
- Locate in the row and in the column (since 1.79 = 1.7 + 0.09).
- This value corresponds to the probability that is less than 1.79.
Using the standard normal table, we find:
Thus,
Would you like further details or have questions about this?
Here are some related questions you might find interesting:
- What is the probability for the standard normal distribution?
- How would you find in a standard normal distribution?
- What is the probability for a standard normal distribution?
- How can we use symmetry properties of the normal distribution for these calculations?
- What is the cumulative probability for ?
Tip: For the standard normal distribution, you can use tables or software to find cumulative probabilities directly.
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Math Problem Analysis
Mathematical Concepts
Statistics
Probability
Standard Normal Distribution
Formulas
P(z < a) for z-scores
Using z-tables for cumulative probability
Theorems
Properties of the standard normal distribution
Suitable Grade Level
Grades 10-12
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