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From the table in the related link, the value at z equal one is 0.3413. The area then to the right of z equal one is 0.5 - 0.3413, or 0.1587.

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Q: Find the area under the standard normal curve to the right of z equals 1?
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What percent of a normal population is within 2 standard deviations of the mean?

By the definition of standard deviation, 95.46% of the normal population will be within 2 SD of the mean. Explanation: The normal distribution of a population means it follows the "bell curve". The center of this bell curve is the population's mean value. One standard deviation defines two areas (on the left and right side of the central "mean" value) under the bell curve that each have 34.13% of the population. The next standard deviation adds two additional areas under the curve, each having 13.6% of the population. Adding the areas under the curves on both sides gives us (34.13% + 13.6%) x 2 = 95.46%


What happens to the graph of the normal curve as the mean increases?

The graph shifts to the right.


What is the z value such that 50 percent of the total area lies to the right of the curve in a normal distribution?

The Z value is 0.


What are the characteristics of a normal distribution curve?

Characteristics of a Normal Distribution1) Continuous Random Variable.2) Mound or Bell-shaped curve.3) The normal curve extends indefinitely in both directions, approaching, but never touching, the horizontal axis as it does so.4) Unimodal5) Mean = Median = Mode6) Symmetrical with respect to the meanThat is, 50% of the area (data) under the curve lies to the left ofthe mean and 50% of the area (data) under the curve liesto the right of the mean.7) (a) 68% of the area (data) under the curve is within onestandard deviation of the mean(b) 95% of the area (data) under the curve is within twostandard deviations of the mean(c) 99.7% of the area (data) under the curve is within threestandard deviations of the mean8) The total area under the normal curve is equal to 1.


What proportion of a normal distribution is located between the two z scores -1.25 and 1.25?

Approx 78.88 % Normal distribution tables give the area under the normal curve between the mean where z = 0 and the given number of standard deviations (z value) to its right; negative z values are to the left of the mean. Looking up z = 1.25 gives 0.3944 (using 4 figure tables). → area between -1.25 and 1.25 is 0.3944 + 0.3944 = 0.7888 → the proportion of the normal distribution between z = -1.25 and z = 1.25 is (approx) 78.88 %

Related questions

What is the area under the normal distribution curve to the right of z that equals 3.24?

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Find the z-score having area 0.86 to its right under its standard normal curve?

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Is the value of mean equals 35.4 and value of median equals 35 the shape of the curve skewed is?

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What percent of a normal population is within 2 standard deviations of the mean?

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What happens to the graph of the normal curve as the mean increases?

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Is the total area under a normal distribution curve to the right of the mean is always equal to 0?

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