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I need help with all of this [5 points] A finite lot of 60 digital watches includes 30% nonconforming units. Using the hypergeometric distribution, what

I need help with all of this

  1. [5 points] A finite lot of 60 digital watches includes 30% nonconforming units. Using the hypergeometric distribution, what is the probability that a sample of 6 will contain 2 nonconforming watches? Show your work.
  2. [5 points] Find the probability, using the binomial distribution, of obtaining 2 or more nonconforming units when sampling 50 computers from a batch known to be 10% nonconforming. Show your work.
  3. [5 points] An injection molding machine produces golf tees that are 30.0% nonconforming. Using the normal distribution as an approximation to the binomial, find the probability that, in a random sample of 250 golf tees, 70 or less are nonconforming. Show your work.
  4. [5 points] A sample of 20 printed labels is selected from a process that is 20% nonconforming. What is the probability of 2 nonconforming labels in the sample? Use the Poisson distribution. Show your work.
  5. [5 points] Using Excel, construct one graph showing the entire distribution from 0 to 10 for:
    1. Hypergeometric, where n = 10, N = 45, D = 25
    2. Binomial, where n = 75 and p = 0.08
    3. Poisson, where np = 6

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