Question

1. the volume of water in a bottle is approximately normally distributed with a mean of 500 ml and a standard deviation of 0.4 ml. 11a find the volume of water which is 1.2 standard deviations below the mean. volume of water = \boxed{} ml

Explanation:

Step1: Define given values

Mean $\mu = 500$ mL, standard deviation $\sigma = 0.4$ mL, z-score $z = -1.2$

Step2: Apply z-score formula rearranged

Volume $V = \mu + z\sigma$
$V = 500 + (-1.2)(0.4)$

Step3: Calculate the result

$V = 500 - 0.48 = 499.52$

Answer:

499.52 mL