Question

select the correct answer from each drop - down menu

hemoglobin level	age
less than 9	21	32	76	120
between 9 and 11	49	52	40	147
above 11	69	44	40	153
total	139	128	162	429

based on the data in the two - way table, the probability of being 25 - 35 years old given a hemoglobin level above 11 is
the probability of being 25 - 35 years old is
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 $P(A|B)
eq P(A)$, events are dependent. Since $0.29
eq0.30$, they are dependent.

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.