Suppose That 70% of the Orders on a Particular Website

question 43

Essay

Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% are shipped to people other than the person placing the order. Gift wrapping is requested for 60% of the orders being shipped to other people, but for only 10% of orders shipped to the person making the order.
a)What is the probability that a randomly selected order will be gift wrapped and sent to another person?
b)What is the probability that a randomly selected order will be gift wrapped?
c)Is gift wrapping independent of the destination of the gift? Justify your response statistically.

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Definitions:

Thalidomide

A medication that caused birth defects when taken by pregnant women, leading to severe limb deformities in newborns.

Valium

A prescription medication used primarily for treating anxiety, muscle spasms, and seizures by calming the nervous system.

Limbs

Appendages of the human or animal body used for movement and manipulation, including arms, legs, wings, or fins.

Cocaine

A powerful stimulant drug derived from the leaves of the coca plant, notorious for its addictive properties and ability to increase energy and alertness.