Easy -1.8 This is a trivial 1-mark question requiring only identification of the mode (the value with highest probability). Students simply need to recognize that x=2 has probability 0.3, which is the maximum. No calculation or conceptual understanding beyond the definition of mode is required.
The discrete random variable \(X\) has the following probability distribution function.
$$\mathrm{P}(X = x) = \begin{cases}
0.2 & x = 1 \\
0.3 & x = 2 \\
0.1 & x = 3, 4 \\
0.25 & x = 5 \\
0.05 & x = 6 \\
0 & \text{otherwise}
\end{cases}$$
Find the mode of \(X\).
Circle your answer.
[1 mark]
0.1 \quad 0.25 \quad 2 \quad 3
The discrete random variable $X$ has the following probability distribution function.
$$\mathrm{P}(X = x) = \begin{cases}
0.2 & x = 1 \\
0.3 & x = 2 \\
0.1 & x = 3, 4 \\
0.25 & x = 5 \\
0.05 & x = 6 \\
0 & \text{otherwise}
\end{cases}$$
Find the mode of $X$.
Circle your answer.
[1 mark]
0.1 \quad 0.25 \quad 2 \quad 3
\hfill \mbox{\textit{AQA Further AS Paper 2 Statistics 2020 Q1 [1]}}