MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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In a batch of 23 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).
(PP)
f(x) = P(X=x) =
OA.
a. Find the probability mass function f(x)=P(X=x).
f(x) = 0
(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.
b. Find P(X= 1).
P(X= 1) =
What does P(X= 1) represent?
(Simplify your answers.)
(Round to five decimal places as needed.)
P(X2 1) =
What does P(X≥ 1) represent?
O A. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective.
OB. This is the probability that at least one of the 7 pedometers chosen for inspection was defective.
OC. This is the probability that the first of the 7 pedometers chosen for inspection was defective.
O D. This is the probability that only 1 out of the 23 pedometers was defective.
c. Find P(X2 1).
(Round to five decimal places as needed.)
OB.
O A. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective.
OB. This is the probability that at least 1 out of the 23 pedometers was defective.
O C. This is the probability that some pedometers after the first of the 7 pedometers chosen for inspection were defective.
O D. This is the probability that at least one of the 7 pedometers chosen for inspection was defective.
OC.
ANWAGON O
1 2 3
OD.
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Transcribed Image Text:In a batch of 23 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). (PP) f(x) = P(X=x) = OA. a. Find the probability mass function f(x)=P(X=x). f(x) = 0 (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. b. Find P(X= 1). P(X= 1) = What does P(X= 1) represent? (Simplify your answers.) (Round to five decimal places as needed.) P(X2 1) = What does P(X≥ 1) represent? O A. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective. OB. This is the probability that at least one of the 7 pedometers chosen for inspection was defective. OC. This is the probability that the first of the 7 pedometers chosen for inspection was defective. O D. This is the probability that only 1 out of the 23 pedometers was defective. c. Find P(X2 1). (Round to five decimal places as needed.) OB. O A. This is the probability that exactly one of the 7 pedometers chosen for inspection was defective. OB. This is the probability that at least 1 out of the 23 pedometers was defective. O C. This is the probability that some pedometers after the first of the 7 pedometers chosen for inspection were defective. O D. This is the probability that at least one of the 7 pedometers chosen for inspection was defective. OC. ANWAGON O 1 2 3 OD.
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