K In a batch of 21 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 PX=1). What does this number represent? c. Find P(X2 1). What does this number represent? OA 0123 Q b. Find P(X=1) PX=1)=(Round to five decimal places s needed.) What does P(X= 1) represent? Q OA. This is the probability that exactly one of the 4 pedometers chosen inspection was defective. OB. This is the probability that the first of the 4 pedometers chosen for inspection was defective. OC. This is the probability that only 1 out of the 21 pedometers was defective. OD. This is the probability that at least one of the 4 pedometers chosen for inspection was defective. c. Find P(X21) PX21)= (Round to five decimal places as needed.) What does P(X2 1) represent? OA. This is the probability that at least 1 out of the 21 pedometers was defective. OB. This is the probability that exactly one of the 4 pedometers chosen for inspection was defective. OC. This is the probability that at least one of the 4 pedometers chosen for inspection was defective. OD. This is the probability that some pedometers after the first of the 4 pedometers chosen for inspection were defective OC. 012 012 SU!
K In a batch of 21 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 PX=1). What does this number represent? c. Find P(X2 1). What does this number represent? OA 0123 Q b. Find P(X=1) PX=1)=(Round to five decimal places s needed.) What does P(X= 1) represent? Q OA. This is the probability that exactly one of the 4 pedometers chosen inspection was defective. OB. This is the probability that the first of the 4 pedometers chosen for inspection was defective. OC. This is the probability that only 1 out of the 21 pedometers was defective. OD. This is the probability that at least one of the 4 pedometers chosen for inspection was defective. c. Find P(X21) PX21)= (Round to five decimal places as needed.) What does P(X2 1) represent? OA. This is the probability that at least 1 out of the 21 pedometers was defective. OB. This is the probability that exactly one of the 4 pedometers chosen for inspection was defective. OC. This is the probability that at least one of the 4 pedometers chosen for inspection was defective. OD. This is the probability that some pedometers after the first of the 4 pedometers chosen for inspection were defective OC. 012 012 SU!
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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O Question 17
O Question 18
O Question 19
O Question 20
O Question 21
O Question 22
O Question 23
O Question 24
O Question 25
Question 26
O Question 27
K
In a batch of 21 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?
O A.
Ay
0.7+
0.6-
0.5
0.4-
0.3-
0.2-
0.1-
0
0 1 2 3
Q
b. Find P(X=1).
P(X= 1) =
What does P(X= 1) represent?
(Round to five decimal places as needed.)
OB.
(Round to five decimal places as needed.)
Ay
0.74
0.64
0.5-
0.47
0.34
0.2-
0.1-
0-
0 1 2 3
Q
O A. This is the probability that exactly one of the 4 pedometers chosen for inspection was defective.
OB. This is the probability that the first of the 4 pedometers chosen for inspection was defective.
O C. This is the probability that only 1 out of the 21 pedometers was defective.
O D. This is the probability that at least one of the 4 pedometers chosen for inspection was defective.
c. Find P(X≥ 1).
P(X≥ 1) =
What does P(X≥ 1) represent?
O A. This is the probability that at least 1 out of the 21 pedometers was defective.
OB. This is the probability that exactly one of the 4 pedometers chosen for inspection was defective.
O C. This is the probability that at least one of the 4 pedometers chosen for inspection was defective.
O D. This is the probability that some pedometers after the first of the 4 pedometers chosen for inspection were defective.
C
OC.
0.7
0.64
0.5
0.43
0.3
0.2-
0.1-
0
0 1 2 3
Q
✔
O D.
Ay
0.74
0.6
0.54
0.4-
0.34
0.2-
0.14
0-
II.
0 1 2 3
Q
Transcribed Image Text:Question list
Question 17
Question 18
Question 19
Question 20
Question 21
Question 22
Question 23
Question 24
Question 25
Question 26
O Question 27
K
In a batch of 21 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).
88
18
a. Find the probability mass function f(x) = P(X=x).
f(x)=P(X=x) =
f(x) =
(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 4 units tested, and let y = f(x). Choose the correct histogram below.
O A.
0.7-
0.6
0.5-
0.4
0.34
0.24
0.1-
01
(Simplify your answers.)
0123
b. Find P(X= 1).
P(X=1)= (Round to five decimal places as needed.)
What does P(X= 1) represent?
OB.
Ay
0.7+
0.6
0.5
0.4-
0.3
0.24
0.1-
0-
0 1 2 3
Q
Thi- ! - ---- - ! . al ma al – Out of the A---- ------ £__!_————————
Q
✔
O A. This is the probability that exactly one of the 4 pedometers chosen for inspection was defective.
C
O C.
0.7
0.6-
0.5+
0.4-
0.34
0.2-
0.1-
0-
0 1 2 3
O D.
Ay
0.7+
0.6-
0.5
0.4-
0.3
0.24
0.1-
0-
11
0 1 2 3
Q
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