Search results
Jan 21, 2021 · There are many programs available that will calculate the probability for a normal curve including Excel and the TI-83/84. There are also online sites available. The following examples show how to do the calculation on the TI-83/84 and with R.
- 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
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.
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.
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.
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 .
People also ask
How do I find the probability of a normal curve?
How do you fit a normal curve?
What is a normal distribution probability calculator?
How to calculate probabilities associated with normal random variables in Excel?
What is the area under a standard normal distribution curve?
What is the probability of a normal random variable x x?
Nov 5, 2020 · To find the probability of your sample mean z score of 2.24 or less occurring, you use the z table to find the value at the intersection of row 2.2 and column +0.04. The table tells you that the area under the curve up to or below your z score is 0.9874.
