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A particular brand of dishwasher soap is sold in three sizes: 30 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a 30-oz box, 50% select a 40-oz box, and the remaining 30% choose a 60-oz box. Let X, and X, denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. 30 35 40 45 50 60 P(x) Calculate E). E(X) = oz Compare E(X) to u. O EX) < H O EX) = 4 O EX) > H (b) Determine the sampling distribution of the sample variance s?. 50 200 450 P(s?) Calculate E(s?). E(s?) = Compare E(s?) to a?. O E(s?) = g2 O E(s?) > o? O E(s?) < o2

A particular brand of dishwasher soap is sold in three sizes: 30 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a 30-oz box, 50% select a 40-oz box, and the remaining 30% choose a 60-oz box. Let X, and X, denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. 30 35 40 45 50 60 P(x) Calculate E). E(X) = oz Compare E(X) to u. O EX) < H O EX) = 4 O EX) > H (b) Determine the sampling distribution of the sample variance s?. 50 200 450 P(s?) Calculate E(s?). E(s?) = Compare E(s?) to a?. O E(s?) = g2 O E(s?) > o? O E(s?) < o2

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 particular brand of dishwasher soap is sold in three sizes: 30 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a 30-oz box, 50% select a 40-oz box, and the remaining 30% choose a 60-oz box. Let X, and X, denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. 30 35 40 45 50 60 P(x) Calculate E(X). E(X) = oz Compare E(X) to u. O E(X) < u O E(X) = H O E(X) > H (b) Determine the sampling distribution of the sample variance s?. s2 50 200 450 P(s?) Calculate E(s?). E(s?) = Compare E(s?) to o?. O E(s?) = o? O E(s?) > o2 O E(s?) < o?
Transcribed Image Text:A particular brand of dishwasher soap is sold in three sizes: 30 oz, 40 oz, and 60 oz. Twenty percent of all purchasers select a 30-oz box, 50% select a 40-oz box, and the remaining 30% choose a 60-oz box. Let X, and X, denote the package sizes selected by two independently selected purchasers. (a) Determine the sampling distribution of X. 30 35 40 45 50 60 P(x) Calculate E(X). E(X) = oz Compare E(X) to u. O E(X) < u O E(X) = H O E(X) > H (b) Determine the sampling distribution of the sample variance s?. s2 50 200 450 P(s?) Calculate E(s?). E(s?) = Compare E(s?) to o?. O E(s?) = o? O E(s?) > o2 O E(s?) < o?
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