SOLUTION: 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

Algebra ->  Probability-and-statistics -> SOLUTION: 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      Log On


   

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?

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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. 


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


(a)  P = C%5B9-1%5D%5E2%2FC%5B9%5D%5E3 = C%5B8%5D%5E2%2FC%5B9%5D%5E3 = 28%2F84 = 1%2F3 = 0.33333...     ANSWER


(b)  P = %28C%5B5%5D%5E2%2AC%5B3%5D%5E1%29%2FC%5B9%5D%5E3 = %2810%2A3%29%2F84 = 10%2F28 = 5%2F14 = 0.3571.   ANSWER

Solved.

The formulas in the post are self-explanatory.

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For introductory lessons on Elementary Probability theory see the lessons
    - Simple and simplest probability problems
    - Solving probability problems using complementary probability
    - Elementary Probability problems related to combinations
    - A True/False test
    - A multiple choice answers test
    - Conditional probability problems
    - Typical probability problems from the archive
    - Experimental probability problems
    - Elementary operations on sets help solving Probability problems
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Solved problems on Probability".


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,  handbook,  a Solutions Manual,  tutorials and  (free of charge)  home teacher.


Happy learning (!)