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In a study to determine frequency and dependency of color-blindness relative to females and males, 1000 people were chosen at random and the following results

In a study to determine frequency and dependency of color-blindness relative to females and males, 1000 people were chosen at random and the following results were recorded. Complete parts (A) through (C) below.

F

F

Totals

Color-Blind

C

2

25

27

Normal

C

527

446

973

Totals

529

471

1,000

(A) Convert the table to a probability table by dividing each entry by 1,000.

F

F

Totals

Color-Blind

C

0.002

enter your response here

0.027

Normal

C

0.527

enter your response here

0.973

Totals

0.529

0.471

1

(B) What is the probability that a person is a woman, given that the person is color-blind? Are the events colorblindness and female independent? Select the correct choice below and fill in the answer box to complete your choice.

(Round to the nearest thousandth as needed.)

A.

The probability is

and the events of color-blindness and female are not independent.

or

B. The probability is

and the events of color-blindness and female are independent.

(C) What is the probability that a person is color-blind, given that the person is a male? Are the events color-blindness and male independent? Select the correct choice below and fill in the answer box to complete your choice.

(Round to the nearest thousandth as needed.)

A.

The probability is

and events of color-blindness and male are not independent.

or

B.

The probability is

and the events of color-blindness and male are independent.

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