Questions: What is the probability that a randomly selected individual 15 years or older was involved in Complete Parts (a) through (f) below.
Transcript text: What is the probability that a randomly selected individual 15 years or older was involved in Complete Parts (a) through (f) below.
Solution
Solution Steps
To find the probability that a randomly selected individual 15 years or older was involved, we need to sum up the given probabilities for each part. This involves simply adding the provided probabilities.
Step 1: Identify the Given Probabilities
The probabilities provided for the different parts are:
\[
P_0 = 0.235, \quad P_1 = 0.127, \quad P_2 = 0.122, \quad P_3 = 0.024, \quad P_4 = 0.004, \quad P_5 = 0.001
\]
Step 2: Calculate the Total Probability
To find the total probability that a randomly selected individual 15 years or older was involved, we sum all the given probabilities:
\[
P_{\text{total}} = P_0 + P_1 + P_2 + P_3 + P_4 + P_5
\]
Substituting the values:
\[
P_{\text{total}} = 0.235 + 0.127 + 0.122 + 0.024 + 0.004 + 0.001 = 0.513
\]
Final Answer
The total probability that a randomly selected individual 15 years or older was involved is
\[
\boxed{0.513}
\]