Question

question 11
a union executive conducted a survey of its members to determine what the membership
felt were the important issues to be resolved during upcoming negotiations with
management. the results indicate that 74% of members felt that job security was an
important issue. 45% indicated pension benefits as an important issue.
considering only those who felt that pension benefits were important, 60% also felt that
job security was an important issue. what is the probability that at least one of these two
issues is important?
show all work.
edit format table
12pt paragraph b i u a 2 t

Explanation:

Step1: Identify the formula

Use the formula \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\). Let \(A\) be the event that job - security is important (\(P(A) = 0.74\)), \(B\) be the event that pension benefits is important (\(P(B)=0.45\)), and \(P(A\cap B) = 0.60\) (the proportion of those who think both are important).

Step2: Substitute values into the formula

$$
LATEXBLOCK0
$$

Answer:

\(0.59\)