Mathematics 9709 · AS & A Level · Linear combinations of random variables

Linear combinations of random variables — practice question

At an entertainment centre, the charge for playing a particular video game is $\$0.40$ for each minute. The number of minutes that people spend on the video game has mean $15$ and variance $9$.
(a)[3]

Find the mean and variance of the amount people pay for using the video game.

(b)[3]

Each day, $35$ people use the video game independently. Find the mean and variance of the total amount paid by the $35$ people.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct mean is $6$

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