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Now solved: Section II: Free Response Show all your work. Indicate clearly the methods
Chapter 6, Problem T6.11(choose chapter or problem)
Section II: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Let Y denote the number of broken eggs in a randomly selected carton of one dozen store brand eggs at a local supermarket. Suppose that the probability distribution of Y is as follows. Value yi : 0 1 2 3 4 Probability pi : 0.78 0.11 0.07 0.03 0.01 (a) What is the probability that at least 10 eggs in a randomly selected carton are unbroken? (b) Calculate and interpret mY. (c) Calculate and interpret sY. Show your work. (d) A quality control inspector at the store keeps looking at randomly selected cartons of eggs until he finds one with at least 2 broken eggs. Find the probability that this happens in one of the first three cartons he inspects.
Questions & Answers
QUESTION:
Section II: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Let Y denote the number of broken eggs in a randomly selected carton of one dozen store brand eggs at a local supermarket. Suppose that the probability distribution of Y is as follows. Value yi : 0 1 2 3 4 Probability pi : 0.78 0.11 0.07 0.03 0.01 (a) What is the probability that at least 10 eggs in a randomly selected carton are unbroken? (b) Calculate and interpret mY. (c) Calculate and interpret sY. Show your work. (d) A quality control inspector at the store keeps looking at randomly selected cartons of eggs until he finds one with at least 2 broken eggs. Find the probability that this happens in one of the first three cartons he inspects.
ANSWER:Step 1 of 3
a)
At least 10 eggs out of 12 eggs are unbroken if 2 or less eggs are broken:
Add the corresponding probabilities:
