09.07.2022 - 23:56

As a purchasing agent, you are responsible for selecting sources of supply for manufactured components to use in your firm’s production process. The salesman for a certain supplier has indicated that they can supply an electronic sub-assembly that has a d

Question:

As a purchasing agent, you are responsible for selecting sources of supply for manufactured components to use in your firm’s production process. The salesman for a certain supplier has indicated that they can supply an electronic sub-assembly that has a defect rate of 1.1% – well below your current supplier’s defect rate. You accept 100 sub-assemblies for evaluation and find that there were four defects.

a. Using the Poisson \approx imation to the binomial, how likely is it to get four or less defects out of 100?

b. Using the Poisson \approx imation to the binomial, how likely is it to get exactly four defects out of 100?

Answers (0)
  • Dona
    April 11, 2023 в 06:26
    The probability that a wooden wheel is bored off-center is {eq}5% = 0.05 {/eq}. Therefore, the probability that one wheel is not off-center is {eq}1 - 0.05 = 0.95 {/eq}. Since there are {eq}4 {/eq} wooden wheels on each toy truck, the probability that all {eq}4 {/eq} wheels are not off-center is simply the product of the individual probabilities: {eq}0.95^4 \approx 0.814 {/eq}. Therefore, the probability that a randomly selected toy truck has no off-center wheels is {eq}0.814 {/eq}, rounded to three decimal places.
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