Chapter 8, Problem 57RE

( A )

To determine

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

$\begin{array}{|rrrrr|}\hline \hfill \text{Number of heads}& \hfill 0& \hfill 1& \hfill 2& \hfill 3\\ \hfill \text{Frequency}& \hfill 120& \hfill 360& \hfill 350& \hfill 170\\ \hline\end{array}$

( B )

To determine

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

$\begin{array}{|rrrrr|}\hline \hfill \text{Number of heads}& \hfill 0& \hfill 1& \hfill 2& \hfill 3\\ \hfill \text{Frequency}& \hfill 120& \hfill 360& \hfill 350& \hfill 170\\ \hline\end{array}$

( C )

To determine

To calculate:The expected frequency for obtaining $2$ heads when three fair coins are flipped $1,000$ times and the frequencies of outcomes are shown in the table:

$\begin{array}{|rrrrr|}\hline \hfill \text{Number of heads}& \hfill 0& \hfill 1& \hfill 2& \hfill 3\\ \hfill \text{Frequency}& \hfill 120& \hfill 360& \hfill 350& \hfill 170\\ \hline\end{array}$