Test: Test 2 Submit Test This Question: 3 pts 7 of 24 (0 complete) This Test 41

Question

Test: Test 2 Submit Test This Question: 3 pts 7 of 24 (0 complete) This Test 41 pts possible accept those coins with weights between 5.001 g and 5.161g The expected number of rejected coins is (Round to the nearest integer.) b. I 300 different coins are inserted into the vending machine, what is the probability that the mean falls between the limits of 5.001 g and 5. 161 g? The probability is approximately Round to four decimal places as needed ) c. Which results is more important to the owner of the vending machine? Why? O A. Part (b) because rejected coins could mean lost sales B. Part (b) because the average resuit is more important O C. Part (a) because the average result is more important O D. Part (a) because rejected coins could mean lost sales al ed

Explanation / Answer

a)
z(5.001) = (5.001-5.081)/0.062 = -1.2903

z(5.161) = (5.161-5.081)/0.062 = +1.2903

P(5.001 < x < 5.161) = P(-1.2903< z < 1.2903) = 0.8031

The expected number of coins = 0.8031 * 300 = 240.9300 = 241

b)

z(5.001) = (5.001-5.081)/(0.062/sqrt(300)) = -22.3490

z(5.161) = (5.161-5.081)/(0.062/sqrt(300)) = 22.3490

P(5.001 < x < 5.161) = P(-22.3490< z < 22.3490) = 1

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