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A made-up firm has two vans. Van A sends back 0, 1 or 2 parcels a day with probabilities 0.6, 0.3…

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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 firm has two vans. Van A sends back $0$ , $1$ or $2$ parcels a day with probabilities $0.6$ , $0.3$ and $0.1$ . Van B sends back $0$ , $1$ , $2$ or $3$ with probabilities $0.3$ , $0.4$ , $0.2$ and $0.1$ . Find the expected number for each van. Find the expected total for both vans over $25$ days.

Need a reminder? The key ideaShow

The expected value is the long-run mean, each value weighted by its probability:

\displaystyle E(X) = \sum x\,P(X = x).

The expected value of a total is the total of the expected values.

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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