Question

Select ALL of the probability comparisons that can be used to determine if gender and whether a person dies are independent.

Group of answer choices

a. Compare P(died|female) to P(died)

b. Compare P(died|male) to P(died)

c. Compare P(female AND died) to P(female)P(died)

d. Compare P(male AND died) to P(male)P(died)

e. Compare P(female AND died) to P(male AND died)

f. Compare P(female) to P(died)

Answer 1

If we want to determine if gender and whether a person dies are independent

Then we can use two approaches

1) Conditional probability approach

2) Independent events probability approach

a. Compare P(died|female) to P(died)

If this condition is true then gender and whether a person dies are independent using the Conditional probability approach

b. Compare P(died|male) to P(died)

If this condition is true then gender and whether a person dies are independent using the Conditional probability approach

c. Compare P(female AND died) to P(female)P(died)

If this condition is true then gender and whether a person dies are independent using the Independent events probability approach

d. Compare P(male AND died) to P(male)P(died)

If this condition is true then gender and whether a person dies are independent using the Independent events probability approach

e. Compare P(female AND died) to P(male AND died)

Comparing this we will not get any information about gender and whether a person dies are independent

f. Compare P(female) to P(died)

Comparing this we will not get any information about gender and whether a person dies are independent

So correct Answers : (a) , (b) ,(c) and (d)

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