Chapter 5, Problem T5.6SPT

To determine

To find out which of the following is an appropriate statement about Wilt’s free-throw shooting based on this dot plot.

Answer to Problem T5.6SPT

Option (a) is the correct option.

Explanation of Solution

It is given in the question that Wilt is a fine basketball player but his free throw shooting could use some work. The dot plot is given in the question which displays the number of made shots in $100$ simulated sets of $50$ free throws by someone with the probability $0.56$ of making a free throw. Thus, in the dot plot we note that there is one dot at $34$ shots made. In total, the dot plot contains $100$ dots. Thus, $3\text{ out of 100}$ dots correspond with at least $34$ shots made. This implies,

  $\begin{array}{l}\frac{3}{100}\\ =0.03\end{array}$

This then implies that we estimate the probability of making at least $34$ shots to be $0.03$ when assuming the probability of making a shot is $56\%$ . Thus, option (a) is the correct option.