Please answer the following Probability question and its two parts using Poisson Distribution: Part A: We introduced the binomial distribution by considering the following scenario. A worn machine is known to produce 10% defective components. If the random variable X is the number of defective components produced in a run of 3 components, find the probabilities that X takes the values 0 to 3. Part B: Mass-produced needles are packed in boxes of 1000. It is believed that 1 needle in 2000 on average is substandard. What is the probability that a box contains 2 or more defectives? * Please answer both parts correctly, and I will provide you a Thumbs Up. Thank you.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Hello. Please answer the attached Probability question and its parts correctly and completely.

*If you answer the question and its parts correctly and completely, I will give you a thumbs up. Thanks.

Please answer the following Probability question and its two parts using Poisson Distribution:
Part A:
We introduced the binomial distribution by
considering the following scenario. A worn
machine is known to produce 10% defective
components. If the random variable X is the
number of defective components produced in
a run of 3 components, find the probabilities
that X takes the values 0 to 3.
Part B:
Mass-produced needles are packed in boxes of
1000. It is believed that 1 needle in 2000 on
average is substandard. What is the probability
that a box contains 2 or more defectives?
* Please answer both parts correctly, and I
will provide you a Thumbs Up. Thank you.
Transcribed Image Text:Please answer the following Probability question and its two parts using Poisson Distribution: Part A: We introduced the binomial distribution by considering the following scenario. A worn machine is known to produce 10% defective components. If the random variable X is the number of defective components produced in a run of 3 components, find the probabilities that X takes the values 0 to 3. Part B: Mass-produced needles are packed in boxes of 1000. It is believed that 1 needle in 2000 on average is substandard. What is the probability that a box contains 2 or more defectives? * Please answer both parts correctly, and I will provide you a Thumbs Up. Thank you.
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