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In: Statistics and Probability

Assume that the following events are independent: The probability that a high school senior will go...

Assume that the following events are independent: The probability that a high school senior will go to college is 0.70. The probability that a high school senior will go to college AND live on campus is 0.48. What is the probability that a high school senior will live on campus, GIVEN that the person will go to college?

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## Q ) Assume that the following events are independent: The probability that a high school senior will go to college is 0.70. The probability that a high school senior will go to college AND live on campus is 0.48. What is the probability that a high school senior will live on campus, GIVEN that the person will go to college?

Answer :

The probability that a high school senior will go to college is 0.70. ie

P (will go to college ) = 0.70 and

The probability that a high school senior will go to college AND live on campus is 0.48. ie

P ( will go to college and live on campus ) = 0.48

## What is the probability that a high school senior will live on campus, GIVEN that the person will go to college?

Answer : P ( live on campus / will go to college ) = ?

= Probability of both / Probability of college ie

=  P ( will go to college and live on campus ) / P (will go to college )

= 0.48 / 0.70

= 0.6857

  

orchestra answered 2 years ago
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