umbrella. You assign the following utilities to the outcomes of taking the umbrella: [if it rains and you stay dry but you’ve carried the umbrella = 30; if it doesn’t rain but you’ve carried the umbrella = 20]. You assign the following utilities for the outcomes of not taking the umbrella: [if it doesn’t rain and you didn’t have to carry anything = 40; if it rains and you get wet but didn’t have to carry anything = 4]. So your decision tree looks like this:   Should you take the umbrella?

A First Course in Probability (10th Edition)
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You have to decide whether to take an umbrella. You assign the following utilities to the outcomes of taking the umbrella: [if it rains and you stay dry but you’ve carried the umbrella = 30; if it doesn’t rain but you’ve carried the umbrella = 20]. You assign the following utilities for the outcomes of not taking the umbrella: [if it doesn’t rain and you didn’t have to carry anything = 40; if it rains and you get wet but didn’t have to carry anything = 4]. So your decision tree looks like this:

 

Should you take the umbrella? Why or why not?

Stay dry but carry
umbrella: 30
Rain
Bring umbrella
Dry
but
carry
umbrella
No rain
for nothing: 20
Nothing to carry but wet:
Rain
4
don't bring
umbrella
Nothing to carry, dry: 40
No rain
Transcribed Image Text:Stay dry but carry umbrella: 30 Rain Bring umbrella Dry but carry umbrella No rain for nothing: 20 Nothing to carry but wet: Rain 4 don't bring umbrella Nothing to carry, dry: 40 No rain
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