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Coffee Inc. is a company that imports two types of coffee to Sweden. The number of sacks of the type Arabica imported every month

 

Coffee Inc. is a company that imports two types of coffee to Sweden. The number of sacks of the type Arabica imported every month can be described by a normally distributed random variable with expectation 50 and variance 4. The number of sacks of the type Robusta imported every month can be described by a normally distributed random variable with expectation 45 and variance 9. The covariance between the number of sacks of both types is 5. What is the probability that the total imports during one month exceed 100 sacks?

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