Answer to Question #193142 in Statistics and Probability for Daniela(me)

Question

​​There are 680 female students on the roster at Neil Armstrong High School. Out of these 680 female students, 68 are in the band and 187 have a drivers’ license. 51 female students have a drivers’ license and are in the band. 

11. How can you tell that this information can be represented with a Venn diagram? 

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12. What is the probability of a female student being in the band? 

 

13. What is the probability of a female student having her drivers’ license?  

 

14. What is the probability of a female student having her drivers’ license and being in the band? 

Answer 1

Total no. of female students = 680

Female student in the band = 68

Female student having drivers license = 187

Female student have drivers license and are in band = 51

Solution: 11

Using a 2 circle Venn diagram, we can cover every possibility given,

Therefore, This information can be represented with a Venn diagram.

12. The probability of female student being in the band =

$=\frac{ 68}{680}$

$= \frac{1}{10}$

$= 0.1$

13. The probability of the female students being in drivers license

$= \frac{187}{680}$

$= 0.275$

14. The probability of the female student have drivers license and are in band

$= \frac{51}{680}\\$

$= 0.075$