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A manufacturer needs to make 50 products. The probability
Chapter , Problem 6.33(choose chapter or problem)
A manufacturer needs to make 50 products. The probability that the main component is defective is 5%. If the manufacturer orders 55 components, what is the probability that there are 50 or more good components so that all the products can be completed
Questions & Answers
QUESTION:
A manufacturer needs to make 50 products. The probability that the main component is defective is 5%. If the manufacturer orders 55 components, what is the probability that there are 50 or more good components so that all the products can be completed
ANSWER:Step 1 of 2
Let be the random variable that denotes the number of defective components.
The probability that the main component is defective is 5%.
Therefore,
Here, .
Therefore, . Then,
.
If there are 50 or more good components, then the maximum number of defective components will be 5.
Therefore, it is enough to calculate .