IB Applications and Interpretation SL · IB Diploma Programme · Standard Level

Continuous random variable and normal distribution

Continuous random variables and the normal distribution for IB Applications SL: GDC probabilities, inverse calculations and worked IB exam questions.

3 sections · 20 exercises and problems with solutions · 9 worked examples · By Álvaro López

When a variable can take any value in an interval (height, weight, time), probability is calculated as an area under a curve, and the probability of an exact value is zero. The most important curve is the bell of the normal distribution , which describes heights, weights, measurement errors and many real quantities. In the IB exam almost everything is done with the graphic display calculator: calculating a probability given the limits, or the reverse, finding the value that leaves a given probability. The decisive thing is to draw the bell and shade the area you are asked about before typing anything.

Recommended order

Follow the sections in order: continuous random variable and density function, the normal distribution and normal calculations. At the end you have the IB exam questions grouped by type.

Before you start

Discrete random variable and binomial distribution (topic 11).

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