In this discussion, we'll look at the idea of independence and conditional probability in more detail. Choose one of the following problems and help explain it to us. 1. The following table shows how a sample of 100 students are distributed in terms of hair and eye color (natural color, not dyed or tinted). Dark Hair 10 50 Light Hair Light Eyes 25 Dark Eyes 15 Your friend says, "Hair color and eye color are independent. Just because you have dark hair doesn't automatically mean you have dark eyes." Your friend is wrong, they are not independent. Help explain it to them.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In this discussion, we'll look at the idea of independence and conditional probability in more detail. Choose one of the following problems and help explain it to us.
1. The following table shows how a sample of 100 students are distributed in terms of hair and eye color (natural color, not dyed or tinted).
Light Hair
25
15
Dark Hair
10
50
Light Eyes
Dark Eyes
Your friend says, "Hair color and eye color are independent. Just because you have dark hair doesn't automatically mean you have dark eyes." Your friend is wrong, they are not independent. Help explain it to them.
Transcribed Image Text:In this discussion, we'll look at the idea of independence and conditional probability in more detail. Choose one of the following problems and help explain it to us. 1. The following table shows how a sample of 100 students are distributed in terms of hair and eye color (natural color, not dyed or tinted). Light Hair 25 15 Dark Hair 10 50 Light Eyes Dark Eyes Your friend says, "Hair color and eye color are independent. Just because you have dark hair doesn't automatically mean you have dark eyes." Your friend is wrong, they are not independent. Help explain it to them.
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