What is the probability that the person randomly selected is traveling for business on a privately owned plane? Round your answer to two decimal places, if necessary.

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Of the travelers arriving at a small airport, 50%50% fly on major airlines, 40%40% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on the major airlines, 60% are traveling for business reasons, whereas 40% of those arriving on private planes and 90% of those arriving on the other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at the airport.
 
Step 2 of 3 :  
What is the probability that the person randomly selected is traveling for business on a privately owned plane? Round your answer to two decimal places, if necessary.
Expert Solution
Step 1

Let Ma be the person who arrived by a major airline.

Pa is the person reached by private airlines. 

Ca be the person arrived by commercial airline.

B|Ma is the person who arrived by major airlines for business reasons.

B|Pa is the person who arrived by private airline for business reasons.

B|Ca is the person who arrived by commercial airline for business reasons.

Given that,

P(Ma) 0.5
P(Pa) 0.4
P(Ca) 0.1
P(B|Ma) 0.6
P(B|Pa) 0.4
P(B|Ca) 0.9

 

 

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