saminena2003 saminena2003

Today at 4:29 PM
Mathematics

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

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

Answer :

JeanaShupp JeanaShupp

Today at 4:34 PM

Answer: C. 0.60

Step-by-step explanation:

From the given table , the number of students are junior : 60

The total number of students = 137

The probability of selecting any junior is given by :-

[tex]\text{P(Junior)}=\dfrac{60}{137}[/tex]

The number of juniors which who attended Jazz = 36

Then , 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]

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reylimunoz reylimunoz

Today at 4:34 PM

Answer: it’s 0.60

(I just took it)

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