Question

insurance company executives surveyed 200 young adults about their first motor vehicle. the results are shown in the two - way table. a survey participant is randomly selected. let e be the event that the participants first motor vehicle had eight cylinders and let t be the event that the participants first motor vehicle was a truck. what is the value of p(e or t)?

Explanation:

Step1: Recall the formula for \(P(E\ or\ T)\)

The formula for \(P(E\ or\ T)\) is \(P(E\cup T)=P(E)+P(T)-P(E\cap T)\).

Step2: Calculate \(P(E)\)

The number of participants with eight - cylinder vehicles \(n(E)=2 + 6+2=10\). So \(P(E)=\frac{n(E)}{N}=\frac{10}{200}\).

Step3: Calculate \(P(T)\)

The number of participants with trucks \(n(T)=6 + 12+6=24\). So \(P(T)=\frac{n(T)}{N}=\frac{24}{200}\).

Step4: Calculate \(P(E\cap T)\)

The number of participants with eight - cylinder trucks \(n(E\cap T) = 6\). So \(P(E\cap T)=\frac{n(E\cap T)}{N}=\frac{6}{200}\).

Step5: Substitute into the formula

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Answer:

0.14