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)) n Recall that the mean u of a discrete random variable X with probability mass function f(x) = P(X = x) is given by μ = Σx₁ f(x₁). Find μ for the probability i=1 mass function above. What does this number represent? (Type an integer or decimal rounded to four decimal places as needed.) What does this number mean? OA. This is the expected number of defective units for every 4 units tested. OB. This is the average number of defective units in each batch of 26 units. OC. This is the probability that every 4 units tested will contain at least one defective unit. OD. This is the exact number of defective units in every 4 units tested.
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)) n Recall that the mean u of a discrete random variable X with probability mass function f(x) = P(X = x) is given by μ = Σx₁ f(x₁). Find μ for the probability i=1 mass function above. What does this number represent? (Type an integer or decimal rounded to four decimal places as needed.) What does this number mean? OA. This is the expected number of defective units for every 4 units tested. OB. This is the average number of defective units in each batch of 26 units. OC. This is the probability that every 4 units tested will contain at least one defective unit. OD. This is the exact number of defective units in every 4 units tested.
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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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))
n
Recall that the mean μ of a discrete random variable X with probability mass function f(x)=P(X=x) is given by μ = Σ x₁ • f(x₁). Find μ for the probability
i=1
mass function above. What does this number represent?
P= (Type an integer or decimal rounded to four decimal places as needed.)
What does this number mean?
O A. This is the expected number of defective units for every 4 units tested.
O B. This is the average number of defective units in each batch of 26 units.
O C. This is the probability that every 4 units tested will contain at least one defective unit.
O D. This is the exact number of defective units in every 4 units tested.
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