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? 6. Find P(X2 1). What does this number represent?
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? 6. Find P(X2 1). What does this number represent?
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:8. Find the probably mass function f(x)=P(X=x), and sketch its histogram.
b. Find P(X=1). What does this number represent?
c. Find P(X21). 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) =
1.8
a. Find the probability mass function f(x)=P(X=x).
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A)
(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.
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0.0
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02-
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Q
(Simplify your answers.)
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Av
0.7
0.6
0.5
04
03
02-
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0-
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0123
oda
OC.
0.74
0.64
0.5
04
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02
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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 (x)-P(X)
(912)
10x)-POX-x)+
00
28287261
(Simply your answers)
Find the probabiety mass function (x) POC)
-O
(Type an ordered pair Use a comma to separate answers as needed Round to five deamal places a needed)
Let the number of defective pedometers among
7 uns tested, and lyfo Choose the comect stagram
OA
Oc
Cocon
PARADA
LEADERS
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