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Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. a. What is the expected value for distribution A? με (Type an integer or decimal rounded to three decimal places as needed.) What is the expected value for distribution B? με (Type an integer or decimal rounded to three decimal places as needed.) b. What is the standard deviation for distribution A? σ = ☐ (Type an integer or decimal rounded to three decimal places as needed.) What is the standard deviation for distribution B? σ = (Type an integer or decimal rounded to three decimal places as needed.) c. What is the probability that x will be at least 3 in Distribution A? P(x≥ 3) = (Type an integer or a decimal. Do not round.) What is the probability that x will be at least 3 in Distribution B? P(x≥ 3) = (Type an integer or a decimal. Do not round.) d. Use these results to compare distribution A and distribution B. ○ A. Distribution A is symmetric, distribution B is right-skewed. B. Distribution A is symmetric, distribution B is symmetric. C. Distribution A is left-skewed, distribution B is right-skewed. D. Distribution A is left-skewed, distribution B is symmetric. E. Distribution A is right-skewed, distribution B is left-skewed. Distribution A Distribution B Xi 10-23 + P(X = x;) 0.06 0.08 0.13 0.24 4 0.49 X0-23 + Xi P(X = xi) 0.49 1 0.24 0.13 0.08 4 0.06 n

Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. a. What is the expected value for distribution A? με (Type an integer or decimal rounded to three decimal places as needed.) What is the expected value for distribution B? με (Type an integer or decimal rounded to three decimal places as needed.) b. What is the standard deviation for distribution A? σ = ☐ (Type an integer or decimal rounded to three decimal places as needed.) What is the standard deviation for distribution B? σ = (Type an integer or decimal rounded to three decimal places as needed.) c. What is the probability that x will be at least 3 in Distribution A? P(x≥ 3) = (Type an integer or a decimal. Do not round.) What is the probability that x will be at least 3 in Distribution B? P(x≥ 3) = (Type an integer or a decimal. Do not round.) d. Use these results to compare distribution A and distribution B. ○ A. Distribution A is symmetric, distribution B is right-skewed. B. Distribution A is symmetric, distribution B is symmetric. C. Distribution A is left-skewed, distribution B is right-skewed. D. Distribution A is left-skewed, distribution B is symmetric. E. Distribution A is right-skewed, distribution B is left-skewed. Distribution A Distribution B Xi 10-23 + P(X = x;) 0.06 0.08 0.13 0.24 4 0.49 X0-23 + Xi P(X = xi) 0.49 1 0.24 0.13 0.08 4 0.06 n

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. a. What is the expected value for distribution A? με (Type an integer or decimal rounded to three decimal places as needed.) What is the expected value for distribution B? με (Type an integer or decimal rounded to three decimal places as needed.) b. What is the standard deviation for distribution A? σ = ☐ (Type an integer or decimal rounded to three decimal places as needed.) What is the standard deviation for distribution B? σ = (Type an integer or decimal rounded to three decimal places as needed.) c. What is the probability that x will be at least 3 in Distribution A? P(x≥ 3) = (Type an integer or a decimal. Do not round.) What is the probability that x will be at least 3 in Distribution B? P(x≥ 3) = (Type an integer or a decimal. Do not round.) d. Use these results to compare distribution A and distribution B. ○ A. Distribution A is symmetric, distribution B is right-skewed. B. Distribution A is symmetric, distribution B is symmetric. C. Distribution A is left-skewed, distribution B is right-skewed. D. Distribution A is left-skewed, distribution B is symmetric. E. Distribution A is right-skewed, distribution B is left-skewed. Distribution A Distribution B Xi 10-23 + P(X = x;) 0.06 0.08 0.13 0.24 4 0.49 X0-23 + Xi P(X = xi) 0.49 1 0.24 0.13 0.08 4 0.06 n
Transcribed Image Text:Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. a. What is the expected value for distribution A? με (Type an integer or decimal rounded to three decimal places as needed.) What is the expected value for distribution B? με (Type an integer or decimal rounded to three decimal places as needed.) b. What is the standard deviation for distribution A? σ = ☐ (Type an integer or decimal rounded to three decimal places as needed.) What is the standard deviation for distribution B? σ = (Type an integer or decimal rounded to three decimal places as needed.) c. What is the probability that x will be at least 3 in Distribution A? P(x≥ 3) = (Type an integer or a decimal. Do not round.) What is the probability that x will be at least 3 in Distribution B? P(x≥ 3) = (Type an integer or a decimal. Do not round.) d. Use these results to compare distribution A and distribution B. ○ A. Distribution A is symmetric, distribution B is right-skewed. B. Distribution A is symmetric, distribution B is symmetric. C. Distribution A is left-skewed, distribution B is right-skewed. D. Distribution A is left-skewed, distribution B is symmetric. E. Distribution A is right-skewed, distribution B is left-skewed. Distribution A Distribution B Xi 10-23 + P(X = x;) 0.06 0.08 0.13 0.24 4 0.49 X0-23 + Xi P(X = xi) 0.49 1 0.24 0.13 0.08 4 0.06 n
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