3. (Just TRY these and show work. Talk about them with others!) Assume the probability that a missile hits a target from long range is 0.30. Assume the firing and aiming of all missiles is independent of every other missile. 5 missiles are fired. What is the probability of (show work)... a. The first missile hitting the target b. All of them hitting the target c. None of them hitting the target d. The first missile that hits the target is the fourth target? e. *At least one of them hitting the target? f. ** How many missiles would you need to fire in order to have at least a 90% probability of hitting the target? * Tricky ** This is tough. Logarithms work well here (though not required).
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The first missile hitting the target: Since the probability of a missile hitting the target is 0.30, the probability of the first missile hitting the target is simply 0.30. $$P(\text{first missile hits}) = 0.30$$ Show more…
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