Ul?-wilton / hw4 1 14 HW4: Problem 14 Prevjous Problem Probem ListNxt Problem (1

Question

Ul?-wilton / hw4 1 14 HW4: Problem 14 Prevjous Problem Probem ListNxt Problem (1 point) In a survey of 239 people, the following data were obtained relating gender to color-blindness Color-Blind (C) Not Color-Bind C Total Male (M) Female (F) Total 95 42 137 83 19 102 178 61 239 A person is randomly selected. What is the probability that the person is a) Male? b) Male and Color-blind? c) Male given that the person is Color-blind? d) Color-blind given that the person is Male? e) Female given that the person is not Color-blind? 1) Are the events Male and Color blind independent? Enter yes or no

Explanation / Answer

Solution:

( a )

the probability that the randomly selected person is male =178 / 239 = 0.7447

( b )

the probability that the randomly selected person is male and colour blind = 95 / 239 = 0.3974

( c )

the probability that the randomly selected person is male given that person is colour blind = 95 / 137 = 0.6934

( d )

the probability that the randomly selected person is colour blind given that person is male = 95 / 178 = 0.5337

( e )

the probability that the randomly selected person is female given the person is not colour blind = 19 / 102 = 0.1862

( f ) yes

the events male and colour blind are indipendent

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