Question

question 1 (multiple choice worth 2 points) (applying two - way frequency tables lc) p(a)=0.65 and p(b)=0.22. if events a and b are independent, what is p(a∩b)? 0.87 0.65 0.43 0.14

Explanation:

Step1: Recall probability formula for independent events

For independent events \(A\) and \(B\), \(P(A\cap B)=P(A)\times P(B)\).

Step2: Substitute given values

We know \(P(A) = 0.65\) and \(P(B)=0.22\), so \(P(A\cap B)=0.65\times0.22\).

Step3: Calculate the product

\(0.65\times0.22 = 0.143\approx0.14\)

Answer:

0.14