You will be able to use the TI83/84 calculator to automatically enter the probabilities for a binomial PDF into a list.
You will be able to use the TI83/84 calculator to determine mean and standard deviation of a discrete probability distribution.
You will be able to use the TI83/84 calculator to find individual and cumulative probabilities; you will be able to use the Rule of Complements in this context.
The TI can give you a list that consists of the probability values in a binomial distribution. This video shows you how to do it.
The command is under [2nd]<VARS>( Distr). Select the option for binompdf( and enter the number of trials n and the probability of success p, separated by a comma:
This video demonstrates binompdf(5, 0.782)
Note: If you just want the probability for a single value of the random variable, simply enter the third value for x:
binompdf(n, p, x)
Be sure to watch the accompanying video that explains how to use this skill to calculate the mean and the standard deviation of the binomial PDF.
The second video details a process for finding the mean and the SD of a probability distribution.
The third video illustrates the cumulative probability function: binomcdf(n, p, x).
demonstration of slick method to fill a list with probabilities; handy for letting TI calculate mean and SD for a binomial PDF (topic for another video in this playlist)
a simple method to use TI for this calculation
We calculate the probability of exactly 14, exactly 13, and 13 or 14 females in 14 individual births. The syntax for the TI83/84 calculator is
binomcdf(n, p, x)
This video shows that the probability of 13 female births in 14 individual births is quite small. Since 13 is an unusually high number of girls this probability indicates that chance is not a reasonable explanation.
Interpret each of the following graphically. Then, give the syntax for the TI calculator with numerical values replacing parameters.
exactly 7 heads in 15 tosses of a fair coin
at most 7 successes in 15 tosses of a fair coin
at least 7 successes in 15 tosses of a fair coin
Interpret each of the following using a sentence or two.
binompdf(12, 0.5, 11)
binompdf(12, 0.5, 12)
binomcdf(12, 0.5, 11)
binomcdf(12, 0.5, 12)
1-binomcdf(12, 0.5, 10)