Quick questions on Continuous random variables and the normal distribution - TCE Mathematics Methods (Tasmania)

Q: What is the normal distribution?

The normal distribution is the bell-shaped model written X N(μ, σ^2). It is symmetric about the mean μ, and σ controls its spread.

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the normal distribution?

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The normal distribution is the bell-shaped model written

X \sim N(\mu, \sigma^2)

. It is symmetric about the mean

\mu

, and

\sigma

controls its spread.

What are standardising to z-scores?

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Every normal distribution can be converted to the standard normal

Z \sim N(0,1)

by standardising.

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