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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