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A random variable X takes the values 1, 2, 3 and 4, and P(X = x) = c(5 - x) for some constant c…

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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 random variable $X$ takes the values $1$ , $2$ , $3$ and $4$ , and $P(X = x) = c(5 - x)$ for some constant $c$ . Find $c$ . Then find $P(X \le 2)$ .

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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