How to Solve a Geometric Distribution Word Problem: Example #3. [HD]

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United States Mr. Math Expert
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A study of car batteries shows that 3% of car batteries produced by a certain machine are defective. The batteries are put into packages of 20 batteries for distribution to retailers.
(a) What is the probability that a randomly selected package of batteries will contain at least 2 defective batteries?
(b) Suppose we continue to select packages of batteries randomly from the production site. What is the probability that it will take fewer than five packages to find a package with at least 2 defective batteries?

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Tags:
Mathematics
math
word problems
statistics
probability
geometric distribution
binomial distribution