Q:

What is the probability that the student attended the jazz concert given that student is a junior

Accepted Solution

A:
Answer: C. 0.60Step-by-step explanation:From the given table , the number of students are junior : 60The total number of students = 137The probability of selecting any junior is given by  :-[tex]\text{P(Junior)}=\dfrac{60}{137}[/tex]The number of juniors which who attended Jazz = 36Then , the probability of selecting a students is junior and attends jazz is given by  :-[tex]\text{P(Junior and Jazz)}=\dfrac{36}{137}[/tex]Now, the conditional probability  that the student attended the jazz concert given that student is a junior  will be :-[tex]\text{P(Jazz}|\text{Junior)}=\dfrac{\dfrac{36}{137}}{\dfrac{60}{137}}\\\\\\=\dfrac{6}{10}=0.60[/tex]