Question 1166444
.
Suppose that at any sitting of BUSI319, 35% of the students are first year; 30% are second year; 
25% are final year and 10% are qualifying to enter various programs (assume mutually exclusive). 
From records of the Statistics department, it was found that 
20% of the first year students get A; 30% of the second year students get A; 
35% of the final year students get A; 25% of the qualifying students get A. 


<pre>
(a)  What is the probability a randomly chosen student will get an A? 

         P = 0.35*0.2 + 0.3*0.3 + 0.25*0.35 + 0.1*0.25.



(b)  Given that a student got an A, what is the probability the student was first year? 

        P = {{{(0.35*0.2)/(0.35*0.2 + 0.3*0.3 + 0.25*0.35 + 0.1*0.25)}}}.
     

(c)  Second year? 

        P = {{{(0.3*0.3)/(0.35*0.2 + 0.3*0.3 + 0.25*0.35 + 0.1*0.25)}}}.



(d)  Third year? 

        P = {{{(0.25*0.35)/(0.35*0.2 + 0.3*0.3 + 0.25*0.35 + 0.1*0.25)}}}.



(e)  Qualifying?

        P = {{{(0.1*0.25)/(0.35*0.2 + 0.3*0.3 + 0.25*0.35 + 0.1*0.25)}}}.
</pre>


Solved.  &nbsp;&nbsp;&nbsp;&nbsp;//  &nbsp;&nbsp;All questions are answered.


--------------


To develop further your knowledge and solving skills in elementary probability problems, look into 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 (!)