Chapter 8, Problem 33RE

( A )

To determine

To calculate:The empirical probability for each outcomes when $2$ coins are flipped $1,000$ times and the frequencies are shown in the table:

$\begin{array}{rr}\hfill \text{2 heads}& \hfill 210\\ \hfill 1\text{ head}& \hfill 480\\ \hfill 0\text{ heads}& \hfill 310\end{array}$

( B )

To determine

To calculate:The theoretical probability for each outcomes when $2$ coins are flipped $1,000$ times and the frequencies are shown in the table:

$\begin{array}{rr}\hfill \text{2 heads}& \hfill 210\\ \hfill 1\text{ head}& \hfill 480\\ \hfill 0\text{ heads}& \hfill 310\end{array}$

( C )

To determine

To calculate:The expected frequency for each outcome using theoretical probability from part $b$, when $2$ coins assuming fair coins are flipped $1,000$ times and the frequencies are shown in the table:

$\begin{array}{rr}\hfill \text{2 heads}& \hfill 210\\ \hfill 1\text{ head}& \hfill 480\\ \hfill 0\text{ heads}& \hfill 310\end{array}$