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Jun 30, 2024 · 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
The probability mass function can be interpreted as another...
- P-Value Calculator
Formally, the p-value is the probability that the test...
- Probability
A normally distributed random variable X has a mean of μ = 20 and a standard deviation of σ = 4. Determine the probability that a randomly selected x-value is between 15 and 22.
- Example 1: Probability Less Than A Certain Value
- Example 2: Probability Greater Than A Certain Value
- Example 3: Probability Between Two Values
The scores on a certain test are normally distributed with mean μ = 82 and standard deviation σ = 8. What is the probability that a given student scores less than 84 on the test? Step 1: Find the z-score. First, we will find the z-score associated with a score of 84: z-score = (x – μ) / σ = (84 – 82) / 8 = 2 / 8 = 0.25 Step 2: Use the z-table to fi...
The height of a certain species of penguin is normally distributed with a mean of μ = 30 inches and a standard deviation of σ = 4 inches. If we randomly select a penguin, what is the probability that it is greater than 28 inches tall? Step 1: Find the z-score. First, we will find the z-score associated with a height of 28 inches. z-score = (x – μ) ...
The weight of a certain species of turtle is normally distributed with a mean of μ = 400 pounds and a standard deviation of σ = 25 pounds. If we randomly select a turtle, what is the probability that it weighs between 410 and 425 pounds? Step 1: Find the z-scores. First, we will find the z-scores associated with 410 pounds and 425 pounds z-score of...
Nov 12, 2024 · This normal probability calculator for sampling distributions finds the probability that your sample mean lies within a specific range. It calculates the normal distribution probability with the sample size (n), a mean values range (defined by X₁ and X₂), the population mean (μ), and the standard deviation (σ).
- Luis Hoyos
The probability that the value for a normal random variable falls in between the values [latex]x=a[/latex] and [latex]x=b[/latex] is the area under the normal distribution curve to the right of [latex]x=a[/latex] and to the left of [latex]x=b[/latex].
Enter the chosen values of x 1 and, if required, x 2 then press Calculate to calculate the probability that a value chosen at random from the distribution is greater than or less than x 1 or x 2, or lies between x 1 and x 2.
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Normal tables, computers, and calculators provide or calculate the probability P (X < x). This diagram shows a bell-shaped curve with uppercase X at the extreme right end of the X axis. The X axis also contains a lowercase x about one-quarter of the way across the X axis from the right.
