Manufacturing and product development the italian aspide, Ask an Expert

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Manufacturing and Product Development

The Italian Aspide missile, a licensed version of the U.S. Sparrow, has a sophisticated homing guidance system and single-shot hit probability of 0.80.43 Suppose an enemy plane is within range of three missile firing stations, all three fire an Aspide surface-to-air missile, and the missiles operate independently.

a. What is the probability that the plane is hit?

b. What is the probability that all three missiles miss?

c. How many missiles would have to be fired at the plane in order to be 99.99% sure it would be hit?

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