Our goal is to simulate the collection of multiple samples. For this task, we are going to use the command **randBin** found under **MATH → PROB → #7**. The parameters are

**randBin(***n*, *p*, *repetitions*) where *n* is the sample size, *p* is the proportion, and *repetitions *is the number of times you want to run the simulation.

For this example, the sample size is 40, the proportion is 0.3, and the number of simulation repetitions is 100. From the home screen, set randBin(40, 0.3, 100) and store the results in L_{1}. **randBin(40,0.3,100) → L**_{1}

Once L_{1}is established, we need the proportion for each L_{1 } sample in list L_{2}. Type L_{1}/40**→**L_{2} on the home screen (or from the Lists in STAT #1, move up onto L_{2}, and type L_{1}/40 at the bottom of the screen, hit ENTER). You now have the Sampling Distribution of the Sample Proportions in L_{2}. Using L_{2} you can find the sampling mean and the sampling standard deviation for the sample proportions.

To see this Sampling Distribution from L_{2} as a histogram, set STAT PLOT for histogram, ZOOM #9.