Continuous random variables in a nutshell | Unit 3 and 4 Maths Methods (2020 only)

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This video was posted in 2020 when discrete random variables was removed from the course due to COVID. This video was provided as an abridged summary of discrete random variables, in order to give some context for the content that remained in the course.

In 2021, this content returns to the course, and I have now added three separate videos explaining these concepts more fully:

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As we continue to juggle face-to-face and online learning during the COVID-19 pandemic, I will continue to record my lessons here on YouTube.

My Year 12 VCE Mathematical Methods class are working on the fourth and final Area of Study: Probability and Statistics. Note that in 2020, this Area of Study has been cut down from what is usually in the Study Design.

In this video, we discuss the concept of a continuous random variable and the probability density functions that describe these variables. We learn how integration is used to calculate probabilities and we also look at how to calculate the mean, median, variance, standard deviation, range, and interquartile range of a continuous random variable.

In 2020, continuous random variables are no longer an examinable part of the study design, however, this theory provides important background for the study of the normal probability distribution, which is an example of a continuous probability distribution, and which remains in the course in 2020.

The class uses the Cambridge Senior Maths textbook for Unit 3 and 4 Mathematical Methods and the TI Nspire CAS CX / CXII calculator.
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I thought probability density functions arent in the study design for this year?

Yushie
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