SOLUTION: A missile guidance system has five fail-safe components. The probability of each failing is 0.05. Assume the variable is binomial. Find the following probability: Exactly two will

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Question 1207469: A missile guidance system has five fail-safe components. The probability of each failing is 0.05. Assume the variable is binomial. Find the following probability: Exactly two will fail. Do not round intermediate values. Round the final answer to three decimal places
Answer by ikleyn(52905) About Me  (Show Source):
You can put this solution on YOUR website!
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Use a standard formula of binomial distribution 

P = C%5B5%5D%5E2%2A0.05%5E2%2A%281-0.05%29%5E3 = %28%285%2A4%29%2F%281%2A2%29%29%2A0.05%5E2%2A0.95%5E3 = 0.021 (rounded as prescribed).    ANSWER

Solved.

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.

Learn the entire subject from there.