Question

Hemoglobin

Level Person's Age
Less than
25 years 25-35 years Above 35 years Total
Less than 9 21 32 76 129
Between 9 and 11 49 52

Above 11 69
40
Total 139 128 162 429
10
Select the correct answer.
What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11?
A.
0.257
B.
0.284
C.
0.312
D.
0.356
E.
0.548

Answer 1

The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 can be calculated by dividing the number of people who are older than 35 years and have a hemoglobin level between 9 and 11 by the total number of people who are older than 35 years. From the table given, we can see that there are 162 people in total who are older than 35 years. Out of these, 52 have a hemoglobin level between 9 and 11. Therefore, the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is:

P(hemoglobin level between 9 and 11 | age > 35) = 52/162

Simplifying this fraction gives:

P(hemoglobin level between 9 and 11 | age > 35) = 0.321

Therefore, the correct answer is option C, 0.312 (rounded to three decimal places).