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(Step-by-Step) In certain community the prevalence of hypertension (HT) among three groups (N-normal, P-prediabetic, D-diabetic) are reported in Table 1,

Question: In certain community the prevalence of hypertension (HT) among three groups (N-normal, P-prediabetic, D-diabetic) are reported in Table 1, while Table 2 presents cross-tabulation of gender and diabetic status for the same community.

Table 1 Table 2

GROUP HT Females HT Males
N 10% 15%
P 15% 20%
D 25% 30%
GROUP Females Males
N 10% 15%
P 10% 20%
D 15% 30%
  1. One person is randomly selected from the community. Find probability that this person is female.
  2. One person is randomly selected and it appears that this person is pre-diabetic and is not hypertensive. Find probability that this person is female.

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