# Quality Control Manager

Question

The quality control manager of Marilyn’s Cookies is inspecting a batch of chocolate-chip cookies that has just been baked. If the production process is in control, the mean number of chocolate chip parts per cookie is 6.0.

a. What is the probability that in any particular cookie being inspected that fewer than five chocolate chips will be found?

b. What is the probability that in any particular cookie being inspected that either four or five chocolate chips will be found?

c. What is the probability that in any particular cookie being inspected that five or more chocolate chips will be found?

d. How many cookies in a batch of 100 should the manager expect to discard if company policy requires that all chocolate-chip cookies sold have at least four chocolate-chip parts?

e. If a particular cookie being inspected is found to have 13 chocolate chips, what might be concluded about the production process? Explain and justify your answer.

Question

Find slopes of all lines tangent to the graph of the relation y^3+(2x^12)(y^2) – 35y = 84 – 84x^5 at the points on its graph where x = 1.

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