Question

answer the question based on the data in the table.
persons age
select the correct answer.
what is the probability that a person who is above 35 years old has a hemoglobin level of 9 or above?
a. 0.357
b. 0.313
c. 0.531
d. 0.343
e. 0.432

Explanation:

Step1: Find the number of people above 35 years old

The total number of people above 35 years old is \(162\).

Step2: Find the number of people above 35 years old with hemoglobin level of 9 or above

The number of people above 35 years old with hemoglobin level of 9 or above is \(40 + 76=116\).

Step3: Calculate the probability

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, \(P = \frac{116}{162}\approx0.716\) (Wait, no, wrong. Wait, re - check.

Wait, no. Wait, the formula for conditional probability. If \(A\) is the event that a person has hemoglobin level of 9 or above and \(B\) is the event that a person is above 35 years old. We want \(P(A|B)=\frac{n(A\cap B)}{n(B)}\).

\(n(B) = 162\) (total number of people above 35 years old). \(n(A\cap B)\) (number of people above 35 with hemoglobin \(\geq9\)): people with hemoglobin above 11: \(40\), people with hemoglobin between 9 and 11: assume the total for between 9 - 11 for above 35 is \(162-(76)\) (no, wait the table:

Total for above 35: \(162\). Less than 9: \(76\). So number of people with hemoglobin \(\geq9\) is \(162 - 76=86\).

Probability \(P=\frac{86}{162}\approx0.531\)

Answer:

C. \(0.531\)