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Key ideas
Key ideas
I am able to model a range of everyday and theoretical situations using well-known probability distributions and hence be able to predict the likelihood of outcome
The area under the curve of the normal distribution represents probability
The normal distribution serves as a mathematical model for the comparison of data resulting from natural phenomena
I can use the rule of thumb that approximately 68% of the data lies between , 95% lies between μ ± 2σ and 99.7% of the data lies between μ ± 3σ
I can use technology to calculate probability and boundary values from the Normal distribution
The Normal Distribution curve
The Normal Distribution curve
The are under the curve represents probability and hence it totals 1
The Normal Distribution
The Normal Distribution
Rules of Thumb
https://www.youtube.com/watch?v=cgxPcdPbujI
The Normal Distribution and the 68-95-99.7 Rule. In this video, I talk about the normal distribution and what percentage of observed values fall within either 1, 2, or 3 standard deviations from the mean. One specific example is discussed
We learn how to calculate areas under the normal distribution bell curve to calculate probabilities, of left tails, right tails and central areas. We start by learning what the probability density function, pdf, does as well as what the role of the cumulative probability density function, cdf, is. Three examples are given and in each case we clearly show how to calculate the area with the calculator
The inverse normal distribution function allows us to calculate the value of a continuous random variable X, given the probability that X be less than that value. It is the inverse of the normal cumulative density function. We work through examples in which we learn how to use the inverse normal function and see how it is different from the normal cumulative density function.
What is Normal?
What is Normal?
Discover where our perception of what is normal comes from, and how it impacts the decisions we make.
The word “normal” is often used as a synonym for "typical," "expected," or even "correct." By that logic, most people should fit the description of normal. But time and time again, so-called normal descriptions of our bodies, minds, and perceptions have turned out to match almost no one. So what does normal actually mean— and should we be relying on it so much? Yana Buhrer Tavanier investigates. Lesson by Yana Buhrer Tavanier, directed by Eoin Duffy.
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