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Constructing Binomial Probability Histograms

 

Constructing binomial probability histograms is no different from constructing probability histograms.

 

Example:

(a)  Construct a binomial probability histogram with  and  .  Comment on the shape of the distribution.

 

(b) Construct a binomial probability histogram with  and   .  Comment on the shape of the distribution.

 

(c) ) Construct a binomial probability histogram with and    Comment on the shape of the distribution

 

 

(a.) Construct a probability distribution for a binomial probability model with n = 10 and p = 0.2. Press STAT select 1: Edit and clear L1 and L2. Enter the values 0 through 10 into L1. Press 2nd [QUIT].

 

To calculate the probabilities for each X-value in L1, first change the display mode so that the probabilities displayed will be rounded to 3 decimal places. Press MODE and change from FLOAT to 3. Press ENTER. This will round each of the probabilities to 3 decimal places. Press 2nd [QUIT].

 

 

Next press 2nd [DISTR] and select 0:binompdf( and type in 10 , .2) and press ENTER. Store these probabilities in L2 by pressing STO 2nd [L2] ENTER.

 

 

To graph the binomial distribution, press 2nd [STATPLOT] and press ENTER. Turn ON Plot 1, select Histogram for Type, type in 2nd [L1] for Xlist and 2nd [L2] for Freq. Adjust the graph window by pressing WINDOW  and setting Xmin = 0, Xmax = 11, Xscl = 1, Ymin = 0 and Ymax = .31. Choosing ‘Xmax = 11’ leaves some space at the right of the graph in order to complete the histogram. The Ymax value was selected by looking through the values in L2 and then rounding the largest UP to a convenient number. Press GRAPH to view the histogram.