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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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 %280.7%29%280.95%29=0.665
A Late %280.7%29%280.05%29=0.035
B On time %280.3%29%280.98%29=0.294
B Late %280.3%29%280.02%29=0.006
.
.
.
P%28Late%29=0.035%2B0.006
P%28Late%29=0.041
.
.
P%28Late-%3EB%29=0.006%2F0.041=0.146

Answer by Edwin McCravy(20060) About Me  (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