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A bulletproof vest manufacturer has 1000 bulletproof vests for sale. Each vest has a 5% probability of...

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Statistics

Abulletproof vest manufacturer has 1000 bulletproof vests for sale.Each vest has a 5% probability of experiencing a failure resultingin a serious injury or death. You randomly select 200 vests forpotential purchase.

What is the likelihood that 10 vests will experience a failureresulting in a serious injury or death? [Show your work]
What is the likelihood that they will all be free from defect?[Show your work]
What is the likelihood that they will all experience a failureresulting in serious injury or death? [Show your work]

Answer & Explanation Solved by verified expert
3.7 Ratings (331 Votes)
Sample size n 200Probability of failure p 005This can be approximated by normal distribution since n is largeandnp 200005 10 and is greater than 5The normal approximation is given byMeanVariance    See Answer
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