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A soft drink company produces bottles of cola that are supposed to contain 10 ounces. When...

A soft drink company produces bottles of cola that are supposed to contain 10 ounces. When the bottling machine is working correctly, the number of fluid ounces per bottle is in fact normally distributed with mean 10 ounces and standard deviation 0.42 ounces. A customer buys nine bottles of this type of cola. What is the probability that the average volume of cola in the nine bottles is more than 9.7 ounces but less than 10.2 ounces?

(A) 0.9074

(B) 0.9625

(C) 0.9232

(D) 0.8876

math   Statistics-And-Probability   
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Answer #1

P(9.7 < Average < 10.2)

= P(-2.14 < z < 1.43)

= 0.9074

Option A is correct.

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