Question

A certain disease only affects men 20 years of age or older. The chart shows the probability that a man with the disease falls in the given age group. What is the probability that a randomly selected man with the disease is not between the ages of 55 and 64

Answer 1

0.68

Step-by-step explanation:

The question is incomplete without the tables. Find attached the table used in solving the question.

group 20-24 25-34 35-44 45-54 55-64 65-74 75+ respectively

Probability 0.004 0.006 0.14 0.29 0.32 0.17 respectively

This is a probability of complementary events. The sum of the two complementary events = 1

Hence, the probability of selecting a man with the disease that is not between the ages of 55 and 64 + the probability of selecting a man with the disease that is between the ages of 55 and 64 = 1

The probability of selecting a man with the disease is not between the ages of 55 and 64 = 1- probability of selecting a man with the disease is between the ages of 55 and 64

Let Pr(between 55 and 74) = probability of selecting a man with the disease is between the ages of 55 and 64

From the table, Pr(between 55 and 74) = 0.32

The probability of selecting a man with the disease is not between the ages of 55 and 64 = 1 - 0.32

The probability of selecting a man with the disease is not between the ages of 55 and 64 = 0.68