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A certain type of weapon has a probability p of working successfully. We test n weapons, and the stockpile is replaced if the number of

A certain type of weapon has a probability p of working successfully. We test n weapons, and the stockpile is replaced if the number of failures, X, is at least one. How large must n be to have P[X>1] = 0.99 when p=0.95? 
(a) Use exact binomial 
(b) Use normal approximation 
(c) Use Poisson approximation
(d) Rework (a) through (c) with p=0.90

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