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What z value corresponds to an area of 0.9881 being to left of z?
2.224
Why is only one normal distribution table needed to find any probability under the normal curve?
The normal distribution is symmetric about its mean; it increases from an asymptote with the x-axis below the mean until the mean whereupon it decreases until another asymptote with the x-axis the same distance above the mean. (This is not a linear increase/decrease, but a "bell" shape.) As the distribution is symmetric about its mean, only tables up to the mean need be calculated/given in a table. The area under the curve between any two points can then be calculated. For a normal distribution with mean µ and standard deviation σ, a z value is calculated for a given point x: z = (x - µ) / σ This z value is then used to look up the area in the given "half" tables, giving the area (probability) of the value lying between the mean and the given z value. If negative, z is below the mean, but for the table, the sign is ignored. This can be expressed as: area = normal(|z|) where normal(z) is the value in the normal table at the given (positive) z value. To calculate the area between two points (ie the probability that a value lies between two given values), their corresponding z values (z₁ and z₂) are first calculated and then combined viz: If they are both on the same side of the mean (ie z₁ and z₂ have the same sign) then the area is given by:area = | normal(|z₁|) - normal(|z₂|) | If they are on opposite sides of the mean (ie z₁ and z₂ have different signs) then the area is given by:area = normal(|z₁|) + normal(|z₂|) Almost all of the normal distribution lies between ±4 standard deviations of the mean.
What is the area probability to the left for the value of Z 1.98?
97.61%
What Z score corresponds to 17 percent of the data between the mean and the Z?
z value=0.44
What is the Z value to the right of the mean Such that 74.5 percent of the total area lies to the left of it?
z = 0.6903
What is the value of z if the area between -z and z is 0.754?
Since the normal distribution is symmetric, the area between -z and 0 must be the same as the area between 0 and z. Using this fact, you can simplify this problem to finding a z such that the area between 0 and z is .754/2=.377. If you look this value up in a z-table or use the invNorm on a calculator, you will find that the required value of z will be 1.16. Therefore, the area between -1.16 and 1.16 must be approximately .754.
What is the area between z equals 0 and z equals 2.24?
The question does not specify what z is but this answer will assume that it is the value of a random variable with a Standard Normal distribution. That being the case, the area under the curve between those values is 0.4875.
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 estimated value of z such that an area of 15 lies to the right of z?
There cannot be such a value since the total area, being a probability, is 1.
How do you find the area to the right of the z-score?
Charts typically show and list the area to the left of the Z-Score value. To find the area to the right, just subtract the Z-Score value from 1; e.g. if the Z-Score value is .75 then take 1-.75 = .25.
What z value corresponds to an area of 0.9881 being to left of z?
2.224
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.
For some positive value of Z the probability that a standard normal variable is between 0 and Z is 0.3340. the value of Z is?
0.97
Given that Z is a standard normal random variable What is the value of Z if the area to the right of Z is 0.1401?
It is 1.17
What is the area under the normal curve between z equals 0.0 and z equals 2.0?
What is the area under the normal curve between z equals 0.0 and z equals 2.0?
What is the difference between z value and z score?
They refer to the same thing as do z-transformations.
In a standard normal distribution what z value corresponds to 17 percent of the data between the mean and z value?
z = ±0.44
