What is the difference in expected time between taking

Reference no: EM133346349

Questions:

On your way back from a family vacation, your dad refuses to take the expressway home. He says, "There could be bumper-to-bumper traffic on the expressway, and even if there isn't, there's a good chance there will be some traffic, and it will take the same time as taking the side roads, anyway." So he wants to take side roads instead of the expressway.
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Suppose there are only two options for traffic: heavy and light. These are mutually exclusive.
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With light traffic, the expressway will get you home in 2 hours. But, there is a 20% chance that you will encounter heavy traffic on the expressway, in which case it will take 6 hours.
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Taking side roads will get you home in 3 hours with no traffic at all. But, there is a 10% chance of heavy traffic, which will make for a 6-hour trip.
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What is the difference in expected time between taking the expressway and taking the side roads? Give an answer as a positive value in hours to the first decimal place.
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(Note: expected time is like expected monetary value, except you multiply the probability of each outcome by the time spent rather than by the monetary value. Just do everything in terms of fractions of hours, and don't convert to minutes!)

Reference no: EM133346349

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