SOCR EduMaterials Activities Discrete Distributions

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This is an activity to explore the Negaive Binomial Probability Distribution.

Description: You can access the applets for the above distributions at http://www.socr.ucla.edu/htmls/SOCR_Distributions.html .

Exercise 1: Use SOCR to graph and print the following distributions and comment on the shape of each one of them:
- a. \( X \) follows negative binomial with \( r=5, \ p=0.2 \).
- b. \( X \) follows negative binomial with \( r=5, \ p=0.9 \).
- c. \( X \) follows negative binomial with \( r=20, \ p=0.3 \).
- d. \( X \) follows negative binomial with \( r=20, \ p=0.9 \).

Exercise 2: Let \( X <\math> follows the negative binomial distribution with <math> r=5, \ p=0.2 <\math>. Explain in words what <math> P(X > 10) <\math> means and use SOCR to compute this probability. Below you can see the distribution of <math> X \sim b(20,0.3) <\math> <center>[[Image: SOCR_Activities_Christou_negbinomial.jpg|600px]]</center> <hr> * SOCR Home page: http://www.socr.ucla.edu ----- ----- Translate this page: <center> {| style="text-align: left; width: 535px; height: 226px" cellspacing="2" cellpadding="2" | style="text-align: center; vertical-align: middle" | <span class="plainlinks">[http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_Activities_ConfidenceIntervals '''(default)'''] <span><br/><span class="plainlinks">[[image:uk_flag.gif|15px]]</span> | style="text-align: center; vertical-align: middle" | <span class="plainlinks">[https://wiki-socr-umich-edu.translate.goog/index.php/SOCR_EduMaterials_Activities_Discrete_Distributions?_x_tr_sl=auto&_x_tr_tl=de '''Deutsch''']</span><br/> <span class="plainlinks"> [[image:de_flag.gif|15px]]</span> | style="text-align: center; vertical-align: middle" | <span class="plainlinks">[https://wiki-socr-umich-edu.translate.goog/index.php/SOCR_EduMaterials_Activities_Discrete_Distributions?_x_tr_sl=auto&_x_tr_tl=es '''Español''']</span><br/> <span class="plainlinks">[[image:es_flag.gif|15px]]</span> | style="text-align: center; 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