\documentclass[12pt]{article}
\usepackage{amsmath, amssymb, graphicx, array, fancyhdr, unicode-math, multirow}

\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\sd}{SD}
\DeclareMathOperator{\Pois}{Pois}
\DeclareMathOperator{\Bin}{Bin}
\DeclareMathOperator{\NegBin}{NegBin}
\DeclareMathOperator{\sech}{sech}


% Text: Calibri, all bold
\setmainfont{Calibri}
\renewcommand{\seriesdefault}{b}

% Math: choose a math font and visually embolden it
\setmathfont{TeX Gyre Termes Math}                  % base math font
\setmathfont[FakeBold=1.9]{TeX Gyre Termes Math}    % embolden; adjust 1.6–2.4

% header
\pagestyle{fancy}
\fancyhf{}
\lhead{\resizebox{!}{2cm}{A}}
\chead{\raisebox{0.5cm}{\Huge Variance / SD}} % (add title text if you want)
\rhead{\resizebox{!}{2cm}{A}}
\setlength{\headheight}{2.5cm}
\setlength{\headsep}{12pt} % space between header and body

\begin{document}
\thispagestyle{fancy}

% -------- PAGE 1 --------
\begin{table}[h!]
  \renewcommand{\arraystretch}{1.2}

% -------- Single -------------------
\begin{tabular}{m{1.2in} m{4in}}
\multirow{5}{*}{\fbox{\includegraphics[width=1in]{images/single.png}}} 
&$X = \{1,2,3,4,5,6\}$\\
&$P(X = x) = \frac{1}{6}$\\
&\\
&\\
&\\
&\\
\end{tabular}

% -------- Abstract -------------------
\begin{tabular}{m{1.2in} m{4in}}
\multirow{5}{*}{\fbox{\includegraphics[width=1in]{images/abstract.png}}} 
&$E(X) = \sum_{x=1}^6 x \cdot \frac{1}{6} = \frac{1+2+3+4+5+6}{6} = \frac{21}{6} = 3.5$\\
&\hrule\\
&\\
&$E(X^2) = \sum_{x=1}^6 x^2 \cdot \frac{1}{6} = \frac{1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2}{6} = \frac{91}{6}$\\
&\hrule\\
&\\
&$\operatorname{Var}(X) = E(X^2) - [E(X)]^2 = \frac{91}{6} - (3.5)^2 = \frac{91}{6} - \frac{49}{4} = \frac{182 - 147}{12} = \frac{35}{12} = \frac{35}{12}$\\
&\hrule\\
&\\
&$\operatorname{SD}(X) = \sqrt{\operatorname{Var}(X)} = \sqrt{\frac{35}{12}} = \sqrt{\frac{35}{12}} \approx 1.708$\\
&\\
&$\mathrm{Var}(4X + 2) = 16\,\mathrm{Var}(X)$\\
&\\
\end{tabular}

% -------- Question -------------------
\begin{tabular}{m{1.2in} m{4in}}
\multirow{5}{*}{\fbox{\includegraphics[width=1in]{images/question.png}}} 
&$P(X=20) = 0.15$\\
&$P(X=30) = 0.10$\\
&$P(X=40) = 0.05$\\
&$P(X=50) = 0.20$\\
&$P(X=60) = 0.10$\\
&$P(X=70) = 0.10 $\\
&$P(X=80) = 0.30$\\
&$ E(X^2) =?$\\
&$\mathrm{Var}(X)=?$\\
&$\sigma=?$\\
&$(\mu - \sigma) \ge X \leq (\mu + \sigma) \rightarrow X=?$\\
\end{tabular}
\end{table}


% second page
\newpage
\thispagestyle{fancy}
\begin{table}[h!]
% -------- Answer -------------------
\begin{tabular}{m{1.2in} m{4in}}
\multirow{5}{*}{\fbox{\includegraphics[width=1in]{images/key.png}}} 
&$P(X=20) = 0.15$\\
&$P(X=30) = 0.10$\\
&$P(X=40) = 0.05$\\
&$P(X=50) = 0.20$\\
&$P(X=60) = 0.10$\\
&$P(X=70) = 0.10 $\\
&$P(X=80) = 0.30$\\
&$ E(X^2) =?$\\
&$\mathrm{Var}(X)=?$\\
&$\sigma=?$\\
&$(\mu - \sigma) \ge X \leq (\mu + \sigma) \rightarrow X=?$\\
&\hrule\\
&\\
&$ E(X^2) =\sum x^2p(x)=20^2(0.15) +30^2(0.10)+\cdots+80^2(0.30)=3935$\\
&\\
&$\mathrm{Var}(X)=E(X^2) -\mu^2 = 3935-55^2 = 475$\\
&\\
&$\sigma=\sqrt{475}\approx21.7945$\\
&\\
&$P = (\mu - \sigma) \ge X \leq (\mu + \sigma)$\\
&\\
&$P = (55-21.79)/(55+21.79) \approx 33.21/76.79$\\
&\\
&$P = 0.05 + 0.20 + 0.10 + 0.10 = 0.45$\\
\end{tabular}
\end{table}
\end{document}