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A made-up survey asks 50 households how many cars they own…

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Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

A made-up survey asks $50$ households how many cars they own. Six own none, $24$ own one, $15$ own two and $5$ own three. Let $X$ be the number of cars of a household picked at random. Find $P(X = 0)$ and $P(X \ge 2)$ .

Need a reminder? The key ideaShow

A probability distribution lists each value $x$ with $P(X = x)$ . The probabilities are from $0$ to $1$ and add up to $1$ :

\displaystyle \sum P(X = x) = 1.

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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