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 x 0 1 2 3 4 Px 0.33 0.40 0.17 0.06 0.04 Send data to Excel   Part 1 of 6     (a) Find  P(4) . Part 2 of 6     (b) Find  P(3 or fewer).   (c) Find the probability that the standard is exceeded on at least one day.       (d) Find the probability that the standard is exceeded on more than one day.       (e) Compute the mean  μx . Round the answer to two decimal places.       (f) Compute the standard deviation  σx . Round the answer to three decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 15CR
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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

x
0
1
2
3
4
Px
0.33
0.40
0.17
0.06
0.04

Send data to Excel

 

Part 1 of 6
 
 
(a) Find 
P(4)
.



Part 2 of 6
 
 
(b) Find 
P(3 or fewer).
 
(c) Find the probability that the standard is exceeded on at least one day.

 
 
 
(d) Find the probability that the standard is exceeded on more than one day.


 
 
 
(e) Compute the mean 
μx
. Round the answer to two decimal places.

 
 
 
(f) Compute the standard deviation 
σx
. Round the answer to three decimal places.
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