1. Softdrink bottles are filled at a plant. The filling machine has a standard d

Question

1.Softdrink bottles are filled at a plant. The filling machine has a standard deviation of 0.05liters. The maximum capacity of the bottles is 2.15 liters. Assuming you use the target value of 2.06 liter, what percentage of your bottles will exceed that limit and overflow ?

2. You ask students to identify European countries on a map. On average students will identify 15% of the countries correctly. A similar test for US states indicates a 45% successrate. Asking students to identify 6 European countries and 4 US states, what is the chance that students will correctly identify at least 60%?

Explanation / Answer

mu=2.06 and sigma=0.05;

normal distribution is there

% of bottle less than 2.15

(2.15-2.06)/0.05=1.8;

inversenormal of 1.8 (using table) =0.966 =96.6% less so, 3.4% more than that

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