A student stays at home. Let event N= the student watches Netflix Let event Y = the student watches the very educational youtube videos made by her/his instructor. Suppose P(N) 0.1, P(Y) = 0.8, and P(N and Y) = 0.8. = Are N and Y independent? o Yes, they are independent O No, they are not independent OH can't be decided w/ given info O No answer text provided.

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**Probability and Independence of Events**

A student stays at home.  
Let event N = the student watches Netflix.  
Let event Y = the student watches the very educational YouTube videos made by her/his instructor.

Suppose P(N) = 0.1, P(Y) = 0.8, and P(N and Y) = 0.08.

**Are N and Y independent?**

- Yes, they are independent.
- No, they are not independent.
- It can't be decided with given info.
- No answer text provided.
Transcribed Image Text:**Probability and Independence of Events** A student stays at home. Let event N = the student watches Netflix. Let event Y = the student watches the very educational YouTube videos made by her/his instructor. Suppose P(N) = 0.1, P(Y) = 0.8, and P(N and Y) = 0.08. **Are N and Y independent?** - Yes, they are independent. - No, they are not independent. - It can't be decided with given info. - No answer text provided.
Expert Solution
Step 1: Introduce the given information

Given,

P(N) = 0.1

P(Y) = 0.8

P(N and Y) = 0.8

Using formula,

If two events A and B are independent, then P(A and B) = P(A)×P(B)

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