Mathematics 9709/53 — October/November 2023

Cambridge AS Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

questions

marks

minutes

Topics Discrete Random Variables · The Normal Distribution · Probability · Representation of Data · Permutations and Combinations

Q1Discrete Random VariablesFree sample

Becky sometimes works in an office and sometimes works at home. The random variable $X$ denotes the number of days that she works at home in any given week. It is given that

\text{P}(X = x) = kx(x + 1),

where $k$ is a constant and $x = 1, 2, 3$ or $4$ only.

(a)

Draw up the probability distribution table for $X$ , giving the probabilities as numerical fractions.

(b)

Find $\text{E}(X)$ and $\text{Var}(X)$ .

The rest of this paper

5 more questions

Q2The Normal Distribution6M
Q3Probability7M
Q4Representation of Data10M
Q5Discrete Random Variables · The Normal Distribution11M
Q6Permutations and Combinations · Probability10M

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