Question 1184497
1. Suatu pengiriman 7 pesawat televisi berisi 2 yang rusak. Sebuah hotel membeli 3 pesawat
secara acak dari kelompok tadi. Bila X menyatakan banyak pesawat yang rusak yang dibeli
hotel tersebut, carilah
a. distribusi peluang X
b. distribusi kumulatif X
2. If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a dictionary. What is the probability that
(a) the dictionary is picked
(b) 2 novels and 1 book of poems are selected?
~~~~~~~~~~~~~~~~~



                    I will solve  Part  (2),   ONLY.



<pre>
In all, where were 5 + 3 + 1 = 9 books on the shelf, originally.


(a)  P = {{{C[9-1]^2/C[9]^3}}} = {{{C[8]^2/C[9]^3}}} = {{{28/84}}} = {{{1/3}}} = 0.33333...     <U>ANSWER</U>


(b)  P = {{{(C[5]^2*C[3]^1)/C[9]^3}}} = {{{(10*3)/84}}} = {{{10/28}}} = {{{5/14}}} = 0.3571.   <U>ANSWER</U>
</pre>

Solved.


The formulas in the post are self-explanatory.


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PLEASE &nbsp;do not pack more than one problem per post.


It is the &nbsp;RULE &nbsp;and the &nbsp;POLICY &nbsp;of this forum.


Thanks.



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For introductory lessons on Elementary Probability theory see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Simple-and-simplest-probability-problems.lesson>Simple and simplest probability problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-probability-problems-using-complementary-probability.lesson>Solving probability problems using complementary probability</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Elementary-Probability-problems-related-to-Combinations.lesson>Elementary Probability problems related to combinations</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/A-True-False-test.lesson>A True/False test</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/A-multiple-choice-answers-test.lesson>A multiple choice answers test</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Conditional-probability-problems.lesson>Conditional probability problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-probability-problems-from-the-archive.lesson>Typical probability problems from the archive</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Experimental-probability-problems.lesson>Experimental probability problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Elementary-operations-on-sets-help-solving-Probability-problems.lesson>Elementary operations on sets help solving Probability problems</A> 

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic &nbsp;"<U>Solved problems on Probability</U>". 



Save the link to this textbook together with its description


Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson


into your archive and use when it is needed.


Consider these lessons as your textbook,  &nbsp;handbook,  &nbsp;a Solutions Manual, &nbsp;tutorials and &nbsp;(free of charge)  &nbsp;home teacher.



Happy learning (!)