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1 year ago

16. You found a shortcut to school that saves 5 minutes off of taking the freeway. About 1 in every 10 trips

Mathematics

1 answer:

kykrilka [37]1 year ago

6 0

Answer:

it saves 2.5 minutes

Step-by-step explanation:

The expected value of a random variable is the sum of products of possibilities and the probability of each.

Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.

The expected value of the shortcut is ...

0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5

The shortcut is expected to save 2.5 minutes on average.

_____

<em>Additional comment</em>

The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.

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