# binomial - Using Your TI-83/84 Calculator: Binomial...

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Using Your TI-83/84 Calculator: Binomial Probability Distributions Elementary Statistics Dr. Laura Schultz This handout describes how to use the binompdf command to work with binomial probability distributions. It also describes how to find the mean and standard deviation for all discrete probability distributions (including binomial probability distributions) and how to generate a probability histogram. Consider the following: The binompdf command Let’s begin by finding the probability that none of the 45 donors have type O-negative blood. 1. Press `v for the = menu. Scroll down to binompdf( and press e . Be aware that this is menu item A if you have a TI-84 calculator, but it is menu item 0 on a TI-83 calculator. 2. The syntax for the binomial probability density function command is binompdf(n,p,x) . n : This is the number of trials. For this example, n = 45 (the number of blood donors). p : This is the “success” probability. For this example, p = 0.07 (the probability that a randomly selected American has type O-negative blood). Note that p must be in decimal form. x : This is the number of “successes.” For this example, we want to find the probability that none of the 45 donors have type-O negative blood, so x = 0 . Note that x must be a whole number. Putting it all together, type 45,0.07,0) and press e . 3. Your calculator will return the probability that exactly 0 out of the 45 donors have type O-negative blood. You will find that P ( x = 0) = 0.0382 . In other words, there is a 3.82% chance that none of the 45 people are universal donors. Remember to round all probability values to 3 significant figures. Next, let’s generate the binomial probability distribution for n = 45 and p = 0.07 .

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## binomial - Using Your TI-83/84 Calculator: Binomial...

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