select the correct answer from each drop - down menu\n\n|hemoglobin level|age| | | |\n|----|----|----|----|…
select the correct answer from each drop - down menu\n\n|hemoglobin level|age| | | |\n|----|----|----|----|----|\n| |less than 25 years|25 - 35 years|above 35 years|total|\n|less than 9|21|32|76|120|\n|between 9 and 11|49|52|40|147|\n|above 11|69|44|40|153|\n|total|139|128|162|429|\n\nbased on the data in the two - way table, the probability of being 25 - 35 years old given a hemoglobin level above 11 is \nthe probability of being 25 - 35 years old is \nbeing 25 - 35 years old and having a hemoglobin level above 11 are dependent on each other.
Answer
Answer:
The probability of being 25 - 35 years old given a hemoglobin level above 11: $\frac{44}{153}\approx0.29$ The probability of being 25 - 35 years old: $\frac{128}{429}\approx0.30$ Being 25 - 35 years old and having a hemoglobin level above 11 are dependent on each other.
Explanation:
Step1: Define conditional - probability formula
$P(A|B)=\frac{P(A\cap B)}{P(B)}$, here $A$ is being 25 - 35 years old, $B$ is having hemoglobin above 11. $P(A\cap B)=\frac{44}{429}$, $P(B)=\frac{153}{429}$, so $P(A|B)=\frac{44}{153}\approx0.29$.
Step2: Calculate probability of being 25 - 35
$P(A)=\frac{128}{429}\approx0.30$.
Step3: Check for dependence
If $P(A|B)\neq P(A)$, events are dependent. Since $0.29\neq0.30$, they are dependent.