which statement is true about whether z and b are independent events? z and b are independent events because…

which statement is true about whether z and b are independent events? z and b are independent events because p(z|b) = p(z). z and b are independent events because p(z|b) = p(b). z and b are not independent events because p(z|b) ≠ p(z). z and b are not independent events because p(z|b) ≠ p(b).

which statement is true about whether z and b are independent events? z and b are independent events because p(z|b) = p(z). z and b are independent events because p(z|b) = p(b). z and b are not independent events because p(z|b) ≠ p(z). z and b are not independent events because p(z|b) ≠ p(b).

Answer

Explanation:

Step1: Calculate $P(Z)$

$P(Z)=\frac{\text{Total of }Z}{\text{Grand - Total}}=\frac{297}{660}= 0.45$

Step2: Calculate $P(Z|B)$

$P(Z|B)=\frac{n(Z\cap B)}{n(B)}=\frac{126}{280}=0.45$

Answer:

Z and B are independent events because $P(Z|B)=P(Z)$.