Supposed 65% of orders on a particular website are shipped to the person who is

Question

Supposed 65% of orders on a particular website are shipped to the person who is making the order and the remaining 35% are shipped to people other than the person placing the order. Gift wrapping is requested for 70% of the orders being shipped to other people, but for only 10% of orders shipped to the making the order.

a). What is the probability that a randomly selected order will be gift wrapped and sent to a person other than the person making the order?

b).What is the probability that a randomly selected order will be gift wrapped?

c) What is the probability that a randomly selected order will be sent to a person other than the person making the order, given it is to be gift wrapped?

Explanation / Answer

P(shipped,making ordeR)=0.65

P(shipped,other)=0.35, P(gift wrapped)=0.70, P(orders shipped to the making the order)=0.10

A. P(A)=0.70*0.35=0.245

B. PB)=0.70*0.35+0.65*0.10=0.245+0.065=0.31

C. 0.35*0.70=0.245

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