A poll of frequent travelers asked them what they preferred for in-flight amenity if they could have one of the items on the list for no extra charge.  The joint probability distribution describing the poll results is shown in the matrix below. What proportion of respondents were children?   Are the two poll variables (Age and Preference) independent? How can you tell?   Given a traveler is young, what is the probability that traveler’s preference is wi-fi?   Given a traveler is not a child, what is the probability the traveler prefers video or wi-fi (stated differently, the preference isn’t a consumable: a meal or alcohol)?   The response matrix indicates there is an easy choice of which item to make available to travelers for free. What is the item and why is the choice of this item an easy one?

MATLAB: An Introduction with Applications
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A poll of frequent travelers asked them what they preferred for in-flight amenity if they could have one of the items on the list for no extra charge.  The joint probability distribution describing the poll results is shown in the matrix below.

  1. What proportion of respondents were children?

 

  1. Are the two poll variables (Age and Preference) independent? How can you tell?

 

  1. Given a traveler is young, what is the probability that traveler’s preference is wi-fi?

 

  1. Given a traveler is not a child, what is the probability the traveler prefers video or wi-fi (stated differently, the preference isn’t a consumable: a meal or alcohol)?

 

  1. The response matrix indicates there is an easy choice of which item to make available to travelers for free. What is the item and why is the choice of this item an easy one?
Мeal
Alcohol Video
Wifi
Type of Traveler
Children
.08
.04
.02
.04
Young
Middle aged
.12
.02
.04
.12
.04
.08
.04
Old
.14
.02
.12
.08
Transcribed Image Text:Мeal Alcohol Video Wifi Type of Traveler Children .08 .04 .02 .04 Young Middle aged .12 .02 .04 .12 .04 .08 .04 Old .14 .02 .12 .08
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