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Jan 21, 2021 · The probability is the area under the curve. To find areas under the curve, you need calculus. Before technology, you needed to convert every x value to a standardized number, called the z-score or z-value or simply just z .
- 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
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.
The calculator will generate a step by step explanation along with the graphic representation of the probability you want to find. Normal distribution calculator. Find the area under normal distribution curve. help ↓↓ examples ↓↓ tutorial ↓↓. 0 1 2 3 4 5 6 7 8 9 –. C .
How to Calculate Probabilities for Normally Distributed Data. Key Terms. o Normal distribution. o Gauss distribution. o Bell curve. o Standardization. o Z-score. o Standard score. Objectives. o Recognize the normal distribution and its fundamental characteristics. o Know how to standardize a random variable using the Z-score.
To calculate probabilities associated with normal random variables in Excel, use the norm.dist (x,μ μ,σ σ,logic operator) function. For x, enter the value for x. For μ μ, enter the mean of the normal distribution. For σ σ, enter the standard deviation of the normal distribution.
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Oct 23, 2020 · Once you have the mean and standard deviation of a normal distribution, you can fit a normal curve to your data using a probability density function. In a probability density function, the area under the curve tells you probability.
