Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. Find the probability that a single can of Coke has at least 12.19 oz.

0.0421

Step-by-step explanation:

Mean (μ) = 12.00 oz

Standard deviation (σ) = 0.11 oz

Z = (x - μ) / σ

Z = (12.19 - 12.00) / 0.11

Z = 0.19/0.11

Z = 1.727

From the normal distribution table, Z = 1.727 = 0.4579

Φ (Z) = 0.4579

Recall that if Z is positive

Pr (x>a) = 0.5 - Φ (Z)

Pr (x > 12.19) = 0.5 - 0.4579

= 0.0421