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. 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). 3 23 -- f(x) = P(X = x) = (Simplify your answers.) 26 4 a. Find the probability mass function f(x) = P(X = x). f(x) = 0.59230, 0.35538, 0.05077, 0.00154} (Type an ordered pair. Use comma to separate answers as needed. Round to five decimal places as needed.)
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. 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). 3 23 -- f(x) = P(X = x) = (Simplify your answers.) 26 4 a. Find the probability mass function f(x) = P(X = x). f(x) = 0.59230, 0.35538, 0.05077, 0.00154} (Type an ordered pair. Use comma to separate answers as needed. Round to five decimal places as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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.
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?
.....
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).
3
23
tion of
-X
f(x) = P(X = x) =
(Simplify your answers.)
26
a. Find the probability mass function f(x) = P(X= x).
find
f(x) = {0.59230, 0.35538, 0.05077, 0.00154}
(Type an ordered pair. Use a comma to separate answers as needed. Round to five decimal places as needed.)
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