Every now and then even a good diamond cutter has a problem and the diamond breaks. For one cutter, the rate of breaks is 0.2%. (a) What probability model seems well suited to this problem? Why? (b) If this cutter works on 83 stones, what is the probability that he breaks 2 or more? (a) Choose the correct answer below. A. The binomial model is more appropriate because the breaks happen at a constant rate over space. B. The Poisson model is more appropriate because the breaks happen at a constant rate over space. O C. The binomial model is more appropriate because the outcomes are dependent. D. The binomial model is more appropriate because there are distinct Bernoulli trials. E. The Poisson model is more appropriate because there is a constant probability of success. F. The Poisson model is more appropriate because the breaks happen at a constant rate over time.

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I need help with a and b

**Problem:**

Every now and then even a good diamond cutter has a problem and the diamond breaks. For one cutter, the rate of breaks is 0.2%.

(a) What probability model seems well suited to this problem? Why?  
(b) If this cutter works on 83 stones, what is the probability that he breaks 2 or more?

---

(a) Choose the correct answer below:

- **A.** The binomial model is more appropriate because the breaks happen at a constant rate over space.
- **B.** The Poisson model is more appropriate because the breaks happen at a constant rate over space.
- **C.** The binomial model is more appropriate because the outcomes are dependent.
- **D.** The binomial model is more appropriate because there are distinct Bernoulli trials.
- **E.** The Poisson model is more appropriate because there is a constant probability of success.
- **F.** The Poisson model is more appropriate because the breaks happen at a constant rate over time.
Transcribed Image Text:**Problem:** Every now and then even a good diamond cutter has a problem and the diamond breaks. For one cutter, the rate of breaks is 0.2%. (a) What probability model seems well suited to this problem? Why? (b) If this cutter works on 83 stones, what is the probability that he breaks 2 or more? --- (a) Choose the correct answer below: - **A.** The binomial model is more appropriate because the breaks happen at a constant rate over space. - **B.** The Poisson model is more appropriate because the breaks happen at a constant rate over space. - **C.** The binomial model is more appropriate because the outcomes are dependent. - **D.** The binomial model is more appropriate because there are distinct Bernoulli trials. - **E.** The Poisson model is more appropriate because there is a constant probability of success. - **F.** The Poisson model is more appropriate because the breaks happen at a constant rate over time.
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