SOLUTION: For a normally distributed variable with a mean of 10 and standard deviation of 5, what is the proportion of the data with negative values?

Question 1019319: For a normally distributed variable with a mean of 10 and standard deviation of 5, what is the proportion of the data with negative values?
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!

Question:
For a normally distributed variable with a mean of 10 and standard deviation of 5, what is the proportion of the data with negative values?

Solution:
Negative values are from -∞ to 0. For the given distribution,
X<=0 means
Z<=(0-μ)/σ=(0-10)/5=-2

Looking up the normal distribution table,
proportion of values with Z<=2 is 0.02275

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