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26. Let x represent the number of underinflated tires on  an automobile.  a. Which of the following p(x) functions specifies a  legitimate distribution for x, and why are the other  two not legitimate?   (i) p(0) 5.3, p(1) 5 .2,  p(2) 5 .1, p(3) 5 .05, p(4) 5 .05   (ii) p(0) 5 .4,  p(1) 5 p(2) 5 p(3) 5 .1, p(4) 5 .3 (iii) p(x) 5 .2(3 2 x) for x 5 0, 1, 2, 3, 4  b. For the legitimate distribution of part (a), determine the long-run proportion of cars having at  most two underinflated tires, the proportion having fewer than two underinflated tires, and the  proportion having at least one underinflated tire.

26. Let x represent the number of underinflated tires on  an automobile.  a. Which of the following p(x) functions specifies a  legitimate distribution for x, and why are the other  two not legitimate?   (i) p(0) 5.3, p(1) 5 .2,  p(2) 5 .1, p(3) 5 .05, p(4) 5 .05   (ii) p(0) 5 .4,  p(1) 5 p(2) 5 p(3) 5 .1, p(4) 5 .3 (iii) p(x) 5 .2(3 2 x) for x 5 0, 1, 2, 3, 4  b. For the legitimate distribution of part (a), determine the long-run proportion of cars having at  most two underinflated tires, the proportion having fewer than two underinflated tires, and the  proportion having at least one underinflated tire.

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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26. Let x represent the number of underinflated tires on  an automobile.
 a. Which of the following p(x) functions specifies a  legitimate distribution for x, and why are the other  two not legitimate?  
(i) p(0) 5.3, p(1) 5 .2,  p(2) 5 .1, p(3) 5 .05, p(4) 5 .05  
(ii) p(0) 5 .4,  p(1) 5 p(2) 5 p(3) 5 .1, p(4) 5 .3
(iii) p(x) 5 .2(3 2 x) for x 5 0, 1, 2, 3, 4 

b. For the legitimate distribution of part (a), determine the long-run proportion of cars having at  most two underinflated tires, the proportion having fewer than two underinflated tires, and the  proportion having at least one underinflated tire. 

 

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