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Please help with statistics! Thank you very much! 1.Chet is applying to both NYP

ID: 3255541 • Letter: P

Question

Please help with statistics! Thank you very much!

1.Chet is applying to both NYPD and CSI. The probability that he gets into NYPD is 0.6. The probability that he gets into CSI is 0.7. The probability that he gets into both is 0.4. What is the probability that he gets in to only NYPD?

0.1

0.2

0.3

0.4

14. Approximately 10% of high school athletes go on to play sports in college. Of these college athlets, only 1.2% go on to play professional sports. What is the probability that a high school athlete will go on to play professional sports?

0.012

0.02

1.20

0.12

15. Approximately 8% of high school actors go on to perform in college. Of these college actors, only 1.9% go on to have a professional career. What is the probability that a high school actor will go on to play a professional career?

0.072

0.152

0.541

1.10

Explanation / Answer

1. Probability that he gets only into NYPD

= P(NYPD) - P(Both)

= 0.6 - 0.4

= 0.2

Option B is correct.

14. P(High school athlete will go on to play professional sports)

= 0.012

Option A is correct.

15. P(A high school actor will go on to play a professional career)

= 0.541

Option C is correct.