mango fruit processing factory that uses robots to sort fruit based on fruit weight. Based on previous information, mango fruit weight (X) has normal distribution with mean value μ =300 gram and standard deviation σ =100 gram. Robot programmed to be able to separate the weight of mangoes with the following criteria: Fruit quality A , if X < μ – σ quality B, if μ – σ < X < μ + 0,5 σ quality C, if X > μ + 0,5 σ a. What percent of mangoes weigh more than 450 grams? b. If the 10 percent of the lightest fruit will be made into juice products, what is the weight limit for mangoes that will be made into juice? c. If at any time there are 1000 mangoes available, how many of each are of quality A, B and C?

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A mango fruit processing factory that uses robots to sort fruit
based on fruit weight. Based on previous information, mango fruit weight (X) has
normal distribution with mean value μ =300 gram and standard deviation σ =100 gram. Robot
programmed to be able to separate the weight of mangoes with the following criteria:
Fruit quality A , if X < μ – σ
quality B, if μ – σ < X < μ + 0,5 σ
quality C, if X > μ + 0,5 σ

a. What percent of mangoes weigh more than 450 grams?
b. If the 10 percent of the lightest fruit will be made into juice products, what is the weight limit for mangoes that will be made into juice?
c. If at any time there are 1000 mangoes available, how many of each are of quality A, B and C?

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