Questions: Question 4 The following table is based on 16 trials. x 15 16 17 18 frequency 2 4 8 2 Based on the table, what is P(x=18) ? Leave your answer in decimal form to three places.

Question 4

The following table is based on 16 trials.

x 15 16 17 18
frequency 2 4 8 2

Based on the table, what is P(x=18) ?
Leave your answer in decimal form to three places.

Transcript text: Question 4 The following table is based on 16 trials. \begin{tabular}{|l|l|l|l|l|} \hline$x$ & 15 & 16 & 17 & 18 \\ \hline frequency & 2 & 4 & 8 & 2 \\ \hline \end{tabular} Based on the table, what is $P(x=18)$ ? Leave your answer in decimal form to three places.

Solution

Solution Steps

Step 1: Understand the problem

The table provides the frequency of each value of $ x $ over 16 trials. We are asked to find the probability $ P(x = 18) $, which is the probability that $ x $ equals 18.

Step 2: Identify the frequency of $ x = 18 $

From the table, the frequency of $ x = 18 $ is 2.

Step 3: Calculate the probability

The probability $ P(x = 18) $ is calculated as the frequency of $ x = 18 $ divided by the total number of trials. Mathematically, this is: \[ P(x = 18) = \frac{\text{Frequency of } x = 18}{\text{Total number of trials}} = \frac{2}{16}. \]

Step 4: Simplify the probability

Simplify the fraction: \[ P(x = 18) = \frac{2}{16} = \frac{1}{8} = 0.125. \]