SOLUTION: This question is from Book " Introduction to Statistics" By Ronald E. Walpole. 3rd Edition . <u><b>Q. 2 (Chapter 4 )pg 105.</b></u> A class in advanced physics is comprised o

Question 164043This question is from textbook Introduction to Statistics
: This question is from Book " Introduction to Statistics" By Ronald E. Walpole. 3rd Edition .
Q. 2 (Chapter 4 )pg 105.
A class in advanced physics is comprised of 10 juniors, 30 seniors and 10 graduate students. The final grades showed that 3 of the juniors , 10 of the seniors and 5 of the graduate students received an "A " for the course. If a student is chosen at random from this class and is found to have earned an "A",
What is the probability that he or she is a senior?
This question is from textbook Introduction to Statistics

Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
P(S/A)= P(S,A)/P(A)
P(A)=(3+10+5)/(10+30+10)=18/50=9/25
P(S,A)=10/50=1/5
then P(S/A)=(1/5)/(9/25)=5/9
Answer: 5/9
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