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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
Normal distribution calculator. 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.
Our normal distribution calculator will display two values: the probability of a person being taller than 185 cm (P (x > X) P(x > X) P (x > X)) and shorter than 185 cm (P (x < X) P(x < X) P (x < X)). In this case, the former is equal to 17.62% and the latter to 82.38%.
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.
Oct 23, 2020 · On your graph of the probability density function, the probability is the shaded area under the curve that lies to the right of where your SAT scores equal 1380. You can find the probability value of this score using the standard normal distribution.
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Nov 5, 2020 · The standard normal distribution is a probability distribution, so the area under the curve between two points tells you the probability of variables taking on a range of values. The total area under the curve is 1 or 100%.
