Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. of the travelers arriving at a small airport, 50%

Of the travelers arriving at a small airport, 50% fly on major airlines, 20% fly on...

Free

90.2K

Verified Solution

Question

Basic Math

Of the travelers arriving at a small airport, 50% fly on majorairlines, 20% fly on privately owned planes, and the remainder flyon commercially owned planes not belonging to a major airline. Ofthose traveling on major airlines, 40% are traveling for businessreasons, whereas 60% of those arriving on private planes and 90% ofthose arriving on other commercially owned planes are traveling forbusiness reasons. Suppose that we randomly select one personarriving at this airport.

(a) What is the probability that the person is traveling onbusiness?

(b) What is the probability that the person is traveling forbusiness on a privately owned plane?

(c) What is the probability that the person arrived on aprivately owned plane, given that the person is traveling forbusiness reasons? (Round your answers to four decimal places.)

(d) What is the probability that the person is traveling onbusiness, given that the person is flying on a commercially ownedplane?

Answer & Explanation Solved by verified expert
4.4 Ratings (808 Votes)

From the given data, the following Table is formed:

Major Airlines Privately owned planes Commercially owned planes Total
Business 0.50X0.40=0.20 0.20X0.60=0.12 0.30X0.90=0.27 0.59
Not business 0.50-0.20=0.30 .20-0.12=0.08 0.30-0.27=0.03 0.41
Total 0.50 0.20 0.30 1.00

(a)
P(Business) = 0.59

(b)

P(Business & Privtely owned plane) = 0.12

(c)
P(Privately owned plane/ Business) = P(Privately owned plane & Business)/P(Business)

                                                     = 0.12/0.59 = 0.2034

(d)

P(Business/ Commercially owned plane)=P(Business & Commerically owned plane)/P(Commercially owned plane)

                                                            = 0.27/0.30 = 0.9
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Operations Management
1.2K views

What can make a contract too specific and what could happen if it is? Give an...

Medical Sciences
1.2K views

What is wrong? 6. Phytates are found in meat. 7. Ceruloplasmin transports iron. 8. There is an increased...

Medical Sciences
1.2K views

Draw the action potential that would be occurring at the SA node in humans. Indicate which...

Biology
1.2K views

could we find an organism where functional RNA or protein molecules were copied directly to pass...

Psychology
1.2K views

7- The “old brain” is believed to be in charge of what type of bodily functions? I want...

Advance Math
1.2K views

Prove that ?(n) < 2 n for any positive integer n. This is a question in...

Physics
1.2K views

63 For a projectile projected at an angle are equal tan 4 u sin 20...

Geometry
1.2K views

46 Which coordinate point is in the solution set for the system of inequalities shown...

Basic Math
1.2K views

In a survey, 25 people were asked how much they spent on their child's last...

Calculus
1.2K views

Consider the integral approximation T20 of 4e dx Does T20 overestimate or underestimate the exact...

Accounting
1.2K views

estion 6 yet Which of the following is a part of...

Finance
1.2K views

Apex Fabricating, Inc. could add up to in inventories. (Round to the...