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2 answers:
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All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If
is the component for state 
, then you have
which means
. So the state vector is 
.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If
which means
Answer: C. 27% of men like woody fragrances, and 45% of the people who like citrus fragrances are women
Step-by-step explanation:
Here, Given table,
Citrus Fruity Woody
Men : 27 21 18
Women : 22 26 15
Thus, The percentage of men like woody fragrances
=
=
=
= 27.2727..... %
≈ 27 %
Now, The percentage of men like woody fragrances
=
=
=
= 44.8979591837 %
≈ 45 %
Thus, Option C is correct.