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In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 7 units to test. Le defective units that are among the 7 units tested. a. Find the probability mass function f(x) = P(X=x), and sketch its histogram. b. Find P(X= 1). What does this number represent? c. Find P(X> 1). What does this number represent?

In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 7 units to test. Le defective units that are among the 7 units tested. a. Find the probability mass function f(x) = P(X=x), and sketch its histogram. b. Find P(X= 1). What does this number represent? c. Find P(X> 1). What does this number represent?

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 7 units to test. Let random variable X= the number of defective units that are among the 7 units tested. a. Find the probability mass function f(x) = P(X=x), and sketch its histogram. b. Find P(X = 1). What does this number represent? c. Find P(X2 1). What does this number represent?
Transcribed Image Text:In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 7 units to test. Let random variable X= the number of defective units that are among the 7 units tested. a. Find the probability mass function f(x) = P(X=x), and sketch its histogram. b. Find P(X = 1). What does this number represent? c. Find P(X2 1). What does this number represent?
Using the hypergeometric probability distribution model, set up an expression that can be used to find a single ordered pair in the probability mass function f(x) = P(X = x). f(x) = P(X = x) = (Simplify your answers.) a. Find the probability mass function f(x) = P(X = x). f(x) = O (Type an ordered pair. Use a comma to separate answers as needed. Round to five decimal places as needed.) Let x= the number of defective pedometers among the 7 units tested, and let y = f(x). Choose the correct histogram below. OA. OB. OC. OD. 0 12 3 b. Find P(X=1). P(X =1)= (Round to five decimal places as needed.) What does P(X = 1) represent? O A. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective. O B. This is the probability that the first of the 7 pedometers chosen for inspection was defective. O C. This is the probability that at least one of the 7 pedometers chosen for inspection was defective. O D. This is the probability that only 1 out of the 26 pedometers was defective. c. Find P(X2 1). P(X2 1) = (Round to five decimal places as needed.) What does P(X2 1) represent? O A. This is the probability that at least 1 out of the 26 pedometers was defective. O B. This is the probability that some pedometers after the first of the 7 pedometers chosen for inspection were defective. O C. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective. O D. This is the probability that at least one of the 7 pedometers chosen for inspection was defective. は ま 。
Transcribed Image Text:Using the hypergeometric probability distribution model, set up an expression that can be used to find a single ordered pair in the probability mass function f(x) = P(X = x). f(x) = P(X = x) = (Simplify your answers.) a. Find the probability mass function f(x) = P(X = x). f(x) = O (Type an ordered pair. Use a comma to separate answers as needed. Round to five decimal places as needed.) Let x= the number of defective pedometers among the 7 units tested, and let y = f(x). Choose the correct histogram below. OA. OB. OC. OD. 0 12 3 b. Find P(X=1). P(X =1)= (Round to five decimal places as needed.) What does P(X = 1) represent? O A. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective. O B. This is the probability that the first of the 7 pedometers chosen for inspection was defective. O C. This is the probability that at least one of the 7 pedometers chosen for inspection was defective. O D. This is the probability that only 1 out of the 26 pedometers was defective. c. Find P(X2 1). P(X2 1) = (Round to five decimal places as needed.) What does P(X2 1) represent? O A. This is the probability that at least 1 out of the 26 pedometers was defective. O B. This is the probability that some pedometers after the first of the 7 pedometers chosen for inspection were defective. O C. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective. O D. This is the probability that at least one of the 7 pedometers chosen for inspection was defective. は ま 。
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