![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
Binomial experiment:
\A binomial experiment is a probability experiment that satisfies the following conditiions.
\(a) The experiment is represented for a fixed number of independent trails ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9d9525296c7189f71cd1cbb29d5a4593.png\")
.
(b) Each trail has only two possible outcomes, success ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=fcf8bf080566032ac3a5726b98b438aa.png\")
or failure ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=dc9f8ffcab337592beb01514378d64b4.png\")
.
(c) The probability of success ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=edc9be7a9b4b0fedd79fce35b4201950.png\")
or ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=761be190db602fe113e452e79bd3d523.png\")
is the same in every trail.The probability of failure is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=be85f8a07733d00c55e4d46229c0d9da.png\")
.
(d) The random variable ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ec7e4265f7817512500deca7c6e49aa0.png\")
represents the number of successes in trails.
![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
Observe the experiment:
\The experiment is not a binomial experiment.
\The experiment is not a binomial experiment because there are more than two possible out comes.
\A persons age can be any reasonable number.
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The experiment is not a binomial experiment.
\The experiment is not a binomial experiment because there are more than two possible out comes. \ \