Roughly 7% of American males in the US have some sort of color blindness. Suppos
ID: 3333730 • Letter: R
Question
Roughly 7% of American males in the US have some sort of color blindness. Suppose that a medical researcher selects one American male at random. Let A represent the event “the selected male is color blind”. Let B represent the event “the selected male is not color blind”. (a) A and B are disjoint not disjoint (b) A and B are independent not independent Now, suppose the medical researcher selects two American males at random. Let A represent the event “the first male is color blind”. Let B represent the event “the second male is not color blind”. (c) A and B are disjoint not disjoint (d) A and B are independent not independent
Explanation / Answer
In case 1:
(a) A and B are disjoint because the sum of the two events is 1.
(b) The two events are not independent because one determines the other.
In case 2:
(a) A and B are not disjoint because the sum of the two events is not1.
(b) A and B are independent because if one male is color blind, it does not effect the chance of the second man being color blind or not
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