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Rosa orders several items from Amazon using standard shipping. There is a 4% chance thepackage will arrive the next day, a 12% chance that it will take 2 days, a 52% chance of taking 3days a 22% chance it will arrive in 4 days, and a 10% chance of taking 5 days. On average, whencan she expect the package to arrive?

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Hello. I appreciate any help. Thanks.

 

Rosa orders several items from Amazon using standard shipping. There is a 4% chance the
package will arrive the next day, a 12% chance that it will take 2 days, a 52% chance of taking 3
days a 22% chance it will arrive in 4 days, and a 10% chance of taking 5 days. On average, when
can she expect the package to arrive?
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Rosa orders several items from Amazon using standard shipping. There is a 4% chance the package will arrive the next day, a 12% chance that it will take 2 days, a 52% chance of taking 3 days a 22% chance it will arrive in 4 days, and a 10% chance of taking 5 days. On average, when can she expect the package to arrive?

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Step 1

Expected date of arrival can be calculated using expected value formula shown below where x is the outcome (number of days to arrive) and P(x) is the probability that it will arrive in those many days.

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Step 2

E(x) = 3....

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