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In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects function f(x) = P(X = x) is given below. units to test. Let random variable X= the number of defective units that are among the 4 units tested. The probability mass f(x) = {(0,0.59231), (1,0.35538), (2,0.05077), (3,0.00154)} Recall that the mean u of a discrete random variable X with probability mass function f(x) = P(X =x) is given by u= Ex •f(x,). Find u for the probability mass function above. What does this number represent? i-1

In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects function f(x) = P(X = x) is given below. units to test. Let random variable X= the number of defective units that are among the 4 units tested. The probability mass f(x) = {(0,0.59231), (1,0.35538), (2,0.05077), (3,0.00154)} Recall that the mean u of a discrete random variable X with probability mass function f(x) = P(X =x) is given by u= Ex •f(x,). Find u for the probability mass function above. What does this number represent? i-1

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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In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 4 units to test. Let random variable X= the number of defective units that are among the 4 units tested. The probability mass function f(x) = P(X =x) is given below. f(x) = {(0,0.59231), (1,0.35538), (2,0.05077), (3,0.00154)} Recall that the mean u of a discrete random variable X with probability mass function f(x) = P(X =x) is given by u = >x f(x,). Find u for the probability mass function above. What does this number represent? u= (Type an integer or decimal rounded to four decimal places as needed.) What does this number mean? O A. This is the probability that every 4 units tested will contain at least one defective unit. O B. This is the exact number of defective units in every 4 units tested. O C. This is the expected number of defective units for every 4 units tested. O D. This is the average number of defective units in each batch of 26 units
Transcribed Image Text:In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 4 units to test. Let random variable X= the number of defective units that are among the 4 units tested. The probability mass function f(x) = P(X =x) is given below. f(x) = {(0,0.59231), (1,0.35538), (2,0.05077), (3,0.00154)} Recall that the mean u of a discrete random variable X with probability mass function f(x) = P(X =x) is given by u = >x f(x,). Find u for the probability mass function above. What does this number represent? u= (Type an integer or decimal rounded to four decimal places as needed.) What does this number mean? O A. This is the probability that every 4 units tested will contain at least one defective unit. O B. This is the exact number of defective units in every 4 units tested. O C. This is the expected number of defective units for every 4 units tested. O D. This is the average number of defective units in each batch of 26 units
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