Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given 1 2 3 P(x) 0.35 0.38 0.19 0.05 0.03 X Send data to Excel Part 1 of 4 (a) Find P (3). P(3)= 0.05 Part 2 of 4 0 (b) Find P (3 or fewer). P (3 or fewer) = 0.97 Part 3 of 4 Part: 3/4 (c) Find the probability that the standard is exceeded on at least two days. The probability that the standard is exceeded on at least two days is 0.27 Part 4 of 4 4 (d) Find the probability that the standard is exceeded on more than two days. The probability that the standard is exceeded on more than two days is

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter14: Counting And Probability
Section14.FOM: Focus On Modeling: The Monte Carlo Method
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Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number
of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by
(→
1
2 3 4
P(x) 0.35 0.38 0.19 0.05 0.03
X
Send data to Excel
Part 1 of 4
(a) Find P (3).
P (3)= 0.05
Part 2 of 4
0
(b) Find P (3 or fewer).
P (3 or fewer) = 0.97
Part 3 of 4
(c) Find the probability that the standard is exceeded on at least two days.
The probability that the standard is exceeded on at least two days is 0.27
Part: 3/4
Part 4 of 4
(d) Find the probability that the standard is exceeded on more than two days.
The probability that the standard is exceeded on more than two days is
B
V
Transcribed Image Text:Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by (→ 1 2 3 4 P(x) 0.35 0.38 0.19 0.05 0.03 X Send data to Excel Part 1 of 4 (a) Find P (3). P (3)= 0.05 Part 2 of 4 0 (b) Find P (3 or fewer). P (3 or fewer) = 0.97 Part 3 of 4 (c) Find the probability that the standard is exceeded on at least two days. The probability that the standard is exceeded on at least two days is 0.27 Part: 3/4 Part 4 of 4 (d) Find the probability that the standard is exceeded on more than two days. The probability that the standard is exceeded on more than two days is B V
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Follow-up Question
Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the
number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X
is given by
Part 1 of 6
(a) Find P(1).
P(1) = 0.39
Part 2 of 6
Part: 2 / 6
Part 3 of 6
(b) Find P (3 or fewer).
P (3 or fewer)= 0.97
Part: 3 / 6
Part 4 of 6
1 2 3
4
P(x) 0.34 0.39 0.19 0.05 0.03
X
Part: 4 / 6
Send data to Excel
(c) Find the probability that the standard is exceeded on at least two days.
Part 5 of 6
0
The probability that the standard is exceeded on at least two days is 0.27
Hx
X
X
(d) Find the probability that the sta d is exceeded on more than two days.
5
19
The probability that the standard is exceeded on more than two days is 0.08
X
(e) Compute the mean Hx. Round the answer to two decimal places.
X
X
S
Transcribed Image Text:Dirty air: The federal government has enacted maximum allowable standards for air pollutants such as ozone. Let X be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of X is given by Part 1 of 6 (a) Find P(1). P(1) = 0.39 Part 2 of 6 Part: 2 / 6 Part 3 of 6 (b) Find P (3 or fewer). P (3 or fewer)= 0.97 Part: 3 / 6 Part 4 of 6 1 2 3 4 P(x) 0.34 0.39 0.19 0.05 0.03 X Part: 4 / 6 Send data to Excel (c) Find the probability that the standard is exceeded on at least two days. Part 5 of 6 0 The probability that the standard is exceeded on at least two days is 0.27 Hx X X (d) Find the probability that the sta d is exceeded on more than two days. 5 19 The probability that the standard is exceeded on more than two days is 0.08 X (e) Compute the mean Hx. Round the answer to two decimal places. X X S
Solution
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Follow-up Question
Part: 4 / 6
Part 5 of 6
(e) Compute the mean μy. Round the answer to two decimal places.
Mx =
Next Part
X
Ś
WW
Su
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy c
Transcribed Image Text:Part: 4 / 6 Part 5 of 6 (e) Compute the mean μy. Round the answer to two decimal places. Mx = Next Part X Ś WW Su 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy c
Solution
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Follow-up Question
The probability that the standard is exceeded on more than two days is 0.08
Part: 4 / 6
Part 5 of 6
(e) Compute the mean μx. Round the answer to two decimal places.
μx
Next Part
X
S
Subr
© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Ce
Transcribed Image Text:The probability that the standard is exceeded on more than two days is 0.08 Part: 4 / 6 Part 5 of 6 (e) Compute the mean μx. Round the answer to two decimal places. μx Next Part X S Subr © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Ce
Solution
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