Question

In: Statistics and Probability

Colorblind (C) Not Colorblind (N) Totals Male (M) 4771 54,869 59,640 Female (F) 497 64,113 64,610...

	Colorblind (C)	Not Colorblind (N)	Totals
Male (M)	4771	54,869	59,640
Female (F)	497	64,113	64,610
Totals	5,268	118,982	124,250

1. What is the probability of being colorblind?

What is the probability of being Female AND Colorblind?

What is the probability of being not colorblind OR Female?

What is the probability of being colorblind GIVEN that you are male?

Are sex and colorblindness dependent? Show evidence using probabilities

Please show your work. Thanks.

Expert Solution

// What is the probability of being colorblind?

P[ colorblind ] = Number of colorblind / total

P[ colorblind ] = 5268/124250

P[ colorblind ] = 0.0424

What is the probability of being Female AND Colorblind?

P[ Female AND Colorblind ] = Number of Female AND Colorblind / total

P[ Female AND Colorblind ] = 497/124250

P[ Female AND Colorblind ] = 0.004

What is the probability of being not colorblind OR Female?

P[ not colorblind OR Female ] = ( Number of not colorblind + Number of Female - Number of not colorblind AND Female ) / total

P[ not colorblind OR Female ] = ( 118982 + 64610 - 64113 ) / 124250

P[ not colorblind OR Female ] = 119479 / 124250

P[ not colorblind OR Female ] = 0.9616

What is the probability of being colorblind GIVEN that you are male?

P[ colorblind GIVEN male ] = Number of colorblind / Number of male

P[ colorblind GIVEN male ] = 5268/59640

P[ colorblind GIVEN male ] = 0.0883

Are sex and colorblindness dependent?

P[ colorblind ] = 0.0424 is not equal to P[ colorblind GIVEN male ]

hence sex and colorblindness are dependent

orchestra answered 2 years ago

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