Easy -2.0 This is a trivial question requiring only identification of the mode from a given probability distribution - simply finding which value of X has the highest probability (0.45 at x=1). No calculation or conceptual understanding beyond the definition of mode is needed.
1 The discrete random variable \(X\) has probability distribution function
$$\mathrm { P } ( X = x ) = \begin{cases} 0.45 & x = 1 \\ 0.25 & x = 2 \\ 0.25 & x = 3 \\ 0.05 & x = 4 \\ 0 & \text { otherwise } \end{cases}$$
State the mode of \(X\)
Circle your answer.
0.25
0.45
1
2.5
1 The discrete random variable $X$ has probability distribution function
$$\mathrm { P } ( X = x ) = \begin{cases} 0.45 & x = 1 \\ 0.25 & x = 2 \\ 0.25 & x = 3 \\ 0.05 & x = 4 \\ 0 & \text { otherwise } \end{cases}$$
State the mode of $X$
Circle your answer.\\
0.25\\
0.45\\
1\\
2.5
\hfill \mbox{\textit{AQA Further AS Paper 2 Statistics 2024 Q1 [1]}}