SOLUTION: What percentage of the area under the normal curve lies
to the right of µ?
between µ - 2σ and µ + 2σ?
to the right of µ + 3σ?
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Probability-and-statistics
-> SOLUTION: What percentage of the area under the normal curve lies
to the right of µ?
between µ - 2σ and µ + 2σ?
to the right of µ + 3σ?
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You can put this solution on YOUR website! thee are general guideline for this.
there is also more detailed values based on a normal distribution calculator.
the general guidelines are referenced below. https://www.varsitytutors.com/hotmath/hotmath_help/topics/normal-distribution-of-data
they state:
68% area between plus or minus 1 standard deviation from the mean.
95% area between plus or minus 2 standard deviations from the mean.
99.7% area between plus or minus 3 standard deviations from the mean.
the reference shows you how tht looks.
the more detailed percentages are obtained from a normal distribution calculator, such as the one at https://davidmlane.com/hyperstat/z_table.html
here's what the results look like.
when you're dealing with z-scores, the z-score for the mean is equal to 0 and the standard devkation is equal to 1.
z-score for the mean is 0.
z-score for 1 standard deviation from the mean is plus or minus 1.
z-score for 2 standard deviations from the mean is plus or minus 2.
z-score for 3 standad deviations from the men is plus or minus 3.
area to the right of a z-score is equal to 1 minus the area to the left of that z-score.
area to the left of a z-score is equal to 1 minus the area to the right of that z-score.
in a normal distribution, the mean and the mode and the median are all at the center of the distribution.
the mena is the average of all the data in the distribution.
the mode is the value that occurs most frequently in the distribution.
the median is the point in the distribution where 50% of the data lies below that value and 50% lies above that value.
the normal distriution is symmetric about the mean.
