\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}{C}}
\chead{\raisebox{0.5cm}{\Huge Discrete Random Variables }} % (add title text if you want)
\rhead{\resizebox{!}{2cm}{C}}
\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}}} 
&$X(HHH) = 3$\\
&$X(HHT) = 2$\\
&$X(HTH) = 2$\\
&$X(THH) = 2$\\
&$X(HTT) = 1$\\
&$X(THT) = 1$\\
&$X(TTH) = 1$\\
&$X(TTT) = 0$\\
&\\
\end{tabular}

% -------- Abstract -------------------
\begin{tabular}{m{1.2in} m{4in}}
\multirow{5}{*}{\fbox{\includegraphics[width=1in]{images/abstract.png}}} 
&$X:\Omega \to {0,1,2,3}$\\
&$P(X=0) = \frac {1}{8}$\\
&$P(X=1) = \frac {3}{8}$\\
&$P(X=2) = \frac {3}{8}$\\
&$P(X=3) = \frac {1}{8}$\\
&\\
\end{tabular}

% -------- Question -------------------
\begin{tabular}{m{1.2in} m{4in}}
\multirow{5}{*}{\fbox{\includegraphics[width=1in]{images/question.png}}} 
&$P(X = 0) = 0.40$\\
&$P(X = 10) = 0.30$\\
&$P(X = 20) = 0.15$\\
&$P(X = 50) = 0.10$\\ 
&$P(X = 100) = 0.05$\\
&$P(X < 50) = ?$\\
&\\
\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}}} 
&$P(X = 0) = 0.40$\\
&$P(X = 10) = 0.30$\\
&$P(X = 20) = 0.15$\\
&$P(X = 50) = 0.10$\\ 
&$P(X = 100) = 0.05$\\
&$P(X < 50) = ?$\\
&\hrule\\
&\\
&$x = 0, 10, 20$\\
&$P(X < 50) = P(X = 0) + P(X = 10) + P(X = 20) = 0.4 + 0.3 + 0.15 = 0.85$\\
&\\
\end{tabular}
\end{table}
\end{document}