(i)[3]
Construct a probability distribution table, expressed in terms of $k$, for the number of eggs laid in one year and determine the value of $k$.
(ii)[3]
Determine the mean and variance of the number of eggs laid in one year by this bird.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
A certain species of bird produces 1, 2, 3 or 4 eggs in a nest each year. The probability of $x$ eggs is $kx$, where $k$ is a constant.
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This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate probability distribution table with probabilities $k,2k,3k,4k$ or correct numerical values” …
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