question 8(multiple choice worth 5 points)\n(interpreting independence lc)\n$p(a)=0.33$ and $p(b)=0.44$…

question 8(multiple choice worth 5 points)\n(interpreting independence lc)\n$p(a)=0.33$ and $p(b)=0.44$. determine $p(a|b)$ if events $a$ and $b$ are independent.\n0.15\n0.33\n0.44\n0.77

question 8(multiple choice worth 5 points)\n(interpreting independence lc)\n$p(a)=0.33$ and $p(b)=0.44$. determine $p(a|b)$ if events $a$ and $b$ are independent.\n0.15\n0.33\n0.44\n0.77

Answer

Explanation:

Step1: Recall the formula for independent events

For independent events (A) and (B), (P(A|B)=\frac{P(A\cap B)}{P(B)}), and (P(A\cap B)=P(A)\times P(B)). So (P(A|B)=\frac{P(A)\times P(B)}{P(B)}).

Step2: Simplify the expression

Since (P(B)\neq0), (\frac{P(A)\times P(B)}{P(B)} = P(A)).

Answer:

B. 0.33