(See Solution) In testing the accuracy of a missile aimed at a flat ground target, you measure the east-west distance missed (X) and the north-south distance


Question: In testing the accuracy of a missile aimed at a flat ground target, you measure the east-west distance missed (X) and the north-south distance missed (Y). Tests suggest that X and Y are both independent and distributed \(N\left( 0,23 \right)\).

  1. What's the chance a missile hits within 8 units of the target?
  2. What's the chance a missile misses by more than 10 units?

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