Age Group Probability
20-24 0.004
25-34 0.006
35-44 0.14
45-54 0.29
55-64 0.32
65-74 0.17
75+ 0.07
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?
The probability that a randomly selected man with the disease is not between the ages of 55 and 64 can be calculated by subtracting the probability of men between 55 and 64 from 1.
Probability of men between 55 and 64 = 0.32
Probability of man not between 55 and 64 = 1 - 0.32 = 0.68
Therefore, the probability that a randomly selected man with the disease is not between the ages of 55 and 64 is 0.68.
To find the probability that a randomly selected man with the disease is not between the ages of 55 and 64, we need to find the complement probability of the probability that a man with the disease falls in the age group 55-64.
The probability that a man with the disease falls in the age group 55-64 is given as 0.32.
So, the probability that a randomly selected man with the disease is not between the ages of 55 and 64 can be calculated as:
1 - 0.32 = 0.68
Therefore, the probability that a randomly selected man with the disease is not between the ages of 55 and 64 is 0.68 or 68%.
To find the probability that a randomly selected man with the disease is not between the ages of 55 and 64, we need to calculate the cumulative probability of all the age groups that are not in that range.
First, let's list the age groups that are not between 55 and 64: 20-24, 25-34, 35-44, 45-54, 65-74, 75+.
To find the cumulative probability, we sum the probabilities of these age groups:
Cumulative probability = P(20-24) + P(25-34) + P(35-44) + P(45-54) + P(65-74) + P(75+)
Cumulative probability = 0.004 + 0.006 + 0.14 + 0.29 + 0.17 + 0.07
Cumulative probability = 0.654
Therefore, the probability that a randomly selected man with the disease is not between the ages of 55 and 64 is 0.654 or 65.4%.