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A company maintains three offices in a certain region, each staffed by two employees. Information concerning yearly salaries (1000s of dollars) is as follows: Office 1 1 2 2 3 3 T Employee 1 2 3 4 5 6 30.2 Salary 29.7 33.6 (a) Suppose two of these employees are randomly selected from among the six (without replacement). Determine the sampling distribution of the sample mean salary X. (Enter your answers for p(x) as fractions.) 27.75 P(x) 33.6 25.8 29.7 p(x) 15 29.70 29.95 31.65 15 (b) Suppose one of the three offices is randomly selected. Let X₁ and X₂ denote the salaries of the two employees. Determine the sampling distribution of X. (Enter your answers as fractions.) 27.75 31.65 31.90 33.60 (c) How does E(X) from parts (a) and (b) compare to the population mean salary μ? E(X) from part (a) is ---Select---μ, and E(X) from part (b) is ---Select---

A company maintains three offices in a certain region, each staffed by two employees. Information concerning yearly salaries (1000s of dollars) is as follows: Office 1 1 2 2 3 3 T Employee 1 2 3 4 5 6 30.2 Salary 29.7 33.6 (a) Suppose two of these employees are randomly selected from among the six (without replacement). Determine the sampling distribution of the sample mean salary X. (Enter your answers for p(x) as fractions.) 27.75 P(x) 33.6 25.8 29.7 p(x) 15 29.70 29.95 31.65 15 (b) Suppose one of the three offices is randomly selected. Let X₁ and X₂ denote the salaries of the two employees. Determine the sampling distribution of X. (Enter your answers as fractions.) 27.75 31.65 31.90 33.60 (c) How does E(X) from parts (a) and (b) compare to the population mean salary μ? E(X) from part (a) is ---Select---μ, and E(X) from part (b) is ---Select---

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A company maintains three offices in a certain region, each staffed by two employees. Information concerning yearly salaries (1000s of dollars) is as follows: Office 1 1 2 2 3 Employee 1 2 3 4 5 Salary 29.7 33.6 30.2 33.6 25.8 P(x) (a) Suppose two of these employees are randomly selected from among the six (without replacement). Determine the sampling distribution of the sample mean salary X. (Enter your answers for p(x) as fractions.) 27.75 x p(x) 15 3 6 29.7 29.70 29.95 31.65 31.65 2 15 (b) Suppose one of the three offices is randomly selected. Let X₁ and X₂ denote the salaries of the two employees. Determine the sampling distribution of X. (Enter your answers as fractions.) 27.75 31.90 33.60 (c) How does E(X) from parts (a) and (b) compare to the population mean salary μ? E(X) from part (a) is ---Select---μ, and E(X) from part (b) is ---Select--- ✓H.
Transcribed Image Text:A company maintains three offices in a certain region, each staffed by two employees. Information concerning yearly salaries (1000s of dollars) is as follows: Office 1 1 2 2 3 Employee 1 2 3 4 5 Salary 29.7 33.6 30.2 33.6 25.8 P(x) (a) Suppose two of these employees are randomly selected from among the six (without replacement). Determine the sampling distribution of the sample mean salary X. (Enter your answers for p(x) as fractions.) 27.75 x p(x) 15 3 6 29.7 29.70 29.95 31.65 31.65 2 15 (b) Suppose one of the three offices is randomly selected. Let X₁ and X₂ denote the salaries of the two employees. Determine the sampling distribution of X. (Enter your answers as fractions.) 27.75 31.90 33.60 (c) How does E(X) from parts (a) and (b) compare to the population mean salary μ? E(X) from part (a) is ---Select---μ, and E(X) from part (b) is ---Select--- ✓H.
When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and each headlight is checked to see whether it is properly aimed. Let X denote the number of headlights that need adjustment, and let y denote the number of defective tires. (a) If X and Y are independent with px(0) 0.5, px(1) = 0.3, px(2) = 0.2, and py(0) = 0.2, Py(1) = 0.1, py(2) = py(3) = 0.05, py(4) = 0.6, display the joint pmf of (X, Y) in a joint probability table. p(x, y) 0 1 0 No 1 = у 2 (b) Compute P(X ≤ 1 and Y≤ 1) from the joint probability table. P(X ≤ 1 and Y ≤ 1) (d) Compute P(X + Y ≤ 1). P(X + Y ≤ 1) = Does P(X ≤ 1 and Y ≤ 1) equal the product P(X ≤ 1). P(Y ≤ 1)? O Yes 3 (c) What is P(X + Y = 0) (the probability of no violations)? P(X + Y = 0) = 4
Transcribed Image Text:When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and each headlight is checked to see whether it is properly aimed. Let X denote the number of headlights that need adjustment, and let y denote the number of defective tires. (a) If X and Y are independent with px(0) 0.5, px(1) = 0.3, px(2) = 0.2, and py(0) = 0.2, Py(1) = 0.1, py(2) = py(3) = 0.05, py(4) = 0.6, display the joint pmf of (X, Y) in a joint probability table. p(x, y) 0 1 0 No 1 = у 2 (b) Compute P(X ≤ 1 and Y≤ 1) from the joint probability table. P(X ≤ 1 and Y ≤ 1) (d) Compute P(X + Y ≤ 1). P(X + Y ≤ 1) = Does P(X ≤ 1 and Y ≤ 1) equal the product P(X ≤ 1). P(Y ≤ 1)? O Yes 3 (c) What is P(X + Y = 0) (the probability of no violations)? P(X + Y = 0) = 4
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