A company produces orange juice bottles with a volume of approximately 2 liters each. One machine fills half of each bottle with concentrate, and another machine fills the other half with water. Assume the two machines work independently. The volume (in liters) of concentrate poured by the first machine follows a normal distribution with mean 0.98 and variance 0.0009. The volume of water (in liters) poured by the second machine follows a normal distribution with mean 1.02 and variance 0.0016. A bottle of orange juice produced by this company is therefore a mixture of water and concentrate. What is the probability that a bottle contains more than 1.98 liters of juice? 0.3684 0.4341 O 0.7874 0.8567 0.6554

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A company produces orange juice bottles with a volume of approximately 2 liters each. One machine fills half of each bottle with concentrate, and
another machine fills the other half with water. Assume the two machines work independently. The volume (in liters) of concentrate poured by the
first machine follows a normal distribution with mean 0.98 and variance 0.0009. The volume of water (in liters) poured by the second machine
follows a normal distribution with mean 1.02 and variance 0.0016. A bottle of orange juice produced by this company is therefore a mixture of
water and concentrate. What is the probability that a bottle contains more than 1.98 liters of juice?
O 0.3684
0.4341
0.7874
0.8567
O 0.6554
Transcribed Image Text:A company produces orange juice bottles with a volume of approximately 2 liters each. One machine fills half of each bottle with concentrate, and another machine fills the other half with water. Assume the two machines work independently. The volume (in liters) of concentrate poured by the first machine follows a normal distribution with mean 0.98 and variance 0.0009. The volume of water (in liters) poured by the second machine follows a normal distribution with mean 1.02 and variance 0.0016. A bottle of orange juice produced by this company is therefore a mixture of water and concentrate. What is the probability that a bottle contains more than 1.98 liters of juice? O 0.3684 0.4341 0.7874 0.8567 O 0.6554
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