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- Enter mean (average), standard deviation, cutoff points, and this normal distribution calculator will calculate the area (=probability) under the normal distribution curve.
www.hackmath.net/en/calculator/normal-distribution
This normal distribution calculator (also a bell curve calculator) calculates the area under a bell curve and establishes the probability of a value being higher or lower than any arbitrary value X. You can also use this probability distribution calculator to find the probability that your variable is in any arbitrary range, X to X₂, just by ...
- Probability
Let's take a look at an example with multi-colored balls. We...
- P-Value Calculator
Formally, the p-value is the probability that the test...
- Probability
Enter mean, standard deviation and cutoff points and this calculator will find the area under standard normal curve. The calculator will generate a step by step explanation along with the graphic representation of the probability you want to find.
- Example 1: Normal Probability Greater Than X
- Example 2: Normal Probability Less Than X
- Example 3: Normal Probability Between Two Values
- Example 4: Normal Probability Outside of Two Values
Question: For a normal distribution with mean = 40 and standard deviation = 6, find the probability that a value is greater than 45. Answer: Use the function normalcdf(x, 10000, μ, σ): normalcdf(45, 10000, 40, 6) = 0.2023 Note: Since the function requires an upper_x value, we just use 10000.
Question: For a normal distribution with mean = 100 and standard deviation = 11.3, find the probability that a value is less than 98. Answer: Use the function normalcdf(-10000, x, μ, σ): normalcdf(-10000, 98, 100, 11.3) = 0.4298 Note: Since the function requires a lower_x value, we just use -10000.
Question: For a normal distribution with mean = 50 and standard deviation = 4, find the probability that a value is between 48 and 52. Answer: Use the function normalcdf(smaller_x, larger_x, μ, σ) normalcdf(48, 52, 50, 4) = 0.3829
Question: For a normal distribution with mean = 22 and standard deviation = 4, find the probability that a value is less than 20 or greater than 24 Answer: Use the function normalcdf(-10000, smaller_x, μ, σ) + normalcdf(larger_x, 10000, μ, σ) normalcdf(-10000, 20, 22, 4) + normalcdf(24, 10000, 22, 4) = 0.6171
Follow these simple steps to calculate probabilities using our Normal Distribution Calculator: Enter the population mean (μ) in the designated input box. Enter the population standard deviation (σ) in the designated input box. Select the type of test (Two-Tailed, Left-Tailed, or Right-Tailed).
Standard normal distribution quantile function (σ =1, μ=0) equates like this: This function is called the probit function. The calculator below gives quantile value by probability for the specified through mean and variance normal distribution ( set variance=1 and mean=0 for probit function).
The Normal Distribution Calculator makes it easy to compute cumulative probability, given a standard score from a standard normal distribution or a raw score from any other normal distribution; and vice versa.
Normal Distribution Calculator. Use this calculator to easily calculate the p-value corresponding to the area under a normal curve below or above a given raw score or Z score, or the area between or outside two standard scores.
