×
×

# Solved: An article in Atmospheric Chemistry and Physics ISBN: 9781118539712 55

## Solution for problem 107E Chapter 4.7

Applied Statistics and Probability for Engineers | 6th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Applied Statistics and Probability for Engineers | 6th Edition

4 5 1 292 Reviews
13
5
Problem 107E

An article in Atmospheric Chemistry and Physics [“Relationship Between Particulate Matter and Childhood Asthma – Basis of a Future Warning System for Central Phoenix,” 2012, Vol. 12, pp. 2479-2490] linked air quality to childhood asthma incidents. The study region in central Phoenix, Arizona recorded 10,500 asthma incidents in children in a 21-month period. Assume that the number of asthma incidents follows a Poisson distribution.

(a) Approximate the probability of more than 550 asthma incidents in a month.

(b) Approximate the probability of 450 to 550 asthma incidents in a month.

(c) Approximate the number of asthma incidents exceeded with probability 5%.

(d) If the number of asthma incidents was greater during the winter than the summer, what would this imply about the Poisson distribution assumption?

Step-by-Step Solution:

Step 1 of 5:

Given the study region in central phoenix, Arizona recorded 10,500 asthma incidents in children in a 21-month period.

Let x = number of asthma incidents per month.

Where x has poisson distribution with mean Then,  incidents per month.

Z = approximate standard normal random variable.  Step 2 of 5:

a). To find the probability of more than 550 asthma incidents in a month.   = 1- 0.9881

= 0.012

Therefore, the probability of more than 550 asthma incidents in a month is 0.012.

Step 3 of 5:

b). To find the probability of 450 to 550 asthma incidents in a month.     = 0.9864 - 0.0136

= 0.9728

Hence, the probability of 450 to 550 asthma incidents in a month is 0.9728.

Step 4 of 5

Step 5 of 5

##### ISBN: 9781118539712

The full step-by-step solution to problem: 107E from chapter: 4.7 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712. This full solution covers the following key subjects: Asthma, incidents, approximate, Probability, month. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. The answer to “An article in Atmospheric Chemistry and Physics [“Relationship Between Particulate Matter and Childhood Asthma – Basis of a Future Warning System for Central Phoenix,” 2012, Vol. 12, pp. 2479-2490] linked air quality to childhood asthma incidents. The study region in central Phoenix, Arizona recorded 10,500 asthma incidents in children in a 21-month period. Assume that the number of asthma incidents follows a Poisson distribution.(a) Approximate the probability of more than 550 asthma incidents in a month.(b) Approximate the probability of 450 to 550 asthma incidents in a month.(c) Approximate the number of asthma incidents exceeded with probability 5%.(d) If the number of asthma incidents was greater during the winter than the summer, what would this imply about the Poisson distribution assumption?” is broken down into a number of easy to follow steps, and 121 words. Since the solution to 107E from 4.7 chapter was answered, more than 685 students have viewed the full step-by-step answer.

Unlock Textbook Solution