SOLUTION: Two express delivery companies A and B advertise that they will deliver a package anywhere in Namibia within 24 hours. Company A delivers 70% of such packages and company B the re

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Question 1028576: Two express delivery companies A and B advertise that they will deliver a package anywhere in Namibia within 24 hours. Company A delivers 70% of such packages and company B the rest. It is known that 5 % of the packages delivered by Company A are late, and 2% of those delivered by Company B are late.
1.Present this information on a tree diagram.
2. If a package is selected from the shipment at random what is the probability that package will be delivered late?
3.What is the probability that a package that was received late was delivered by company B?
Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
A-> A On time
A-> A Late
B-> B On time
B-> B Late
.
.
.
A On time
A Late
B On time
B Late
.
.
.


.
.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Two express delivery companies A and B advertise that they
will deliver a package anywhere in Namibia within 24 hours.
Company A delivers 70% of such packages and company B the
rest. It is known that 5 % of the packages delivered by
Company A are late, and 2% of those delivered by Company B
are late.

1.Present this information on a tree diagram.

2. If a package is selected from the shipment at random what
is the probability that package will be delivered late?
P(late) = 0.035+0.006 = 0.041

3.What is the probability that a package that was received
late was delivered by Company B?
That asks for the probability that it was delivered by 
Company B given that it was late.



Edwin
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