Suppose a certain opthalmic trait is associated with eye color. 300 randomly sel

Question

 Suppose a certain opthalmic trait is associated with eye color.         300 randomly selected individuals are studied with results         as follows:                          EYE COLOR         TRAIT | Blue | Brown | Other | Total         ____________________________________         Yes   |  70  |   30  |   20  |  120         ____________________________________         No    |  20  |  110  |   50  |  180         ____________________________________         Total |  90  |  140  |   70  |  300          A.  What is the probability that a person has blue eyes?          B.  What would you expect to be the value P(having the trait and             blue eyes) if eye color and trait status were independent?          C.  Which of the following expressions describes the relation-             ship between the events A = a person has brown eyes and             B = a person has blue eyes? (circle the correct answer)                 i. independent      ii. exhaustive              iii. simple           iv. mutually exclusive

Explanation / Answer

(b) from independence

P(having the trait and blue eyes)

= P(having the trait) * P(blue eyes)

= 120/300 * 90/300 = 0.12

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