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What is the proportion of the total area under the normal curve within plus or minus 2 standard deviations?
95%
What is the proportion of the total area under the normal curve within plus and minus two standard deviations of the mean?
95
The area under a normal curve with mu equals 8 and sigma equals 3 is?
The area under a normal curve with mu = 8 and sigma = 3 is
What is the area under standard normal distribution curve between z equals 0 and z equals -2.16?
2.16
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 is the area under the standard normal curve?
the standard normal curve 2
Find the area under the standard normal curve between -1.33 and the mean P(-1.33?
To find the area under the standard normal curve between -1.33 and the mean (0), we can use the standard normal distribution table or a calculator. The area to the left of -1.33 is approximately 0.0918. Since the total area under the curve is 1 and the curve is symmetrical around the mean, the area between -1.33 and 0 is about 0.5 - 0.0918 = 0.4082. Thus, the area under the curve from -1.33 to the mean is approximately 0.4082.
What area is to the left of z equals -2.37 under that standard normal curve?
The area is 0.008894
What is the z score of 0.0011 that corresponds to the area under the standard normal curve?
3.06
What is the area under the standard normal distribution curve between z1.50 and z2.50?
~0.0606
What is the area under the standard normal distribution curve between z0.75 and z1.89?
0.1972
The area under the normal curve is greatest in which scenario?
The area under the normal curve is ALWAYS 1.
What area under the standard normal curve falls outside the z-value -2.5 and 2.5?
0.0124
What area under the standard normal curve falls between the z value -1.5 and 2.5?
The area is 0.9270, approx.
What is the proportion of the total area under the normal curve within plus or minus 2 standard deviations?
95%
What is the area under the normal curve between Z0.0 and Z1.79?
What is the area under the normal curve between z=0.0 and z=1.79?
What is the total area under the normal distribution curve?
The area under the normal distribution curve represents the probability of an event occurring that is normally distributed. So, the area under the entire normal distribution curve must be 1 (equal to 100%). For example, if the mean (average) male height is 5'10" then there is a 50% chance that a randomly selected male will have a height that is below or exactly 5'10". This is because the area under the normal curve from the left hand side up to the mean consists of half of the entire area of the normal curve. This leads us to the definitions of z-scores and standard deviations to represent how far along the normal curve a particular value is. We can calculate the likelihood of the value by finding the area under the normal curve to that point, usually by using a z-score cdf (cumulative density function) utility of a calculator or statistics software.
