A company that manufactures video cameras pro- duces a basic model
61.   A company that manufactures video cameras pro- duces a basic model and a deluxe model. Over the past year, 40% of the cameras sold have been of the basic model. Of those buying the basic model, 30% purchase an extended warranty, whereas 50% of all deluxe purchasers do so. If you learn that a ran- domly selected purchaser has an extended warranty, how likely is it that he or she has a basic model?
62.   For customers purchasing a full set of tires at a par- ticular tire store, consider the events
AÂ = 5tires purchased were made in the United States6
BÂ = 5purchaser has tires balanced immediately6
CÂ = 5purchaser requests front-end alignment6
along with A', B', and C'. Assume the following un- conditional and conditional probabilities:
Â
premium, 50%  ll their tanks.P(A) = .75P1B 0 A 2 = .9P1B 0 A¿ 2 = .8
Â
a.   What is the probability that the next customer
will request extra unleaded gas and ll the tank (A2 n B)?P1C 0 A ¨ B 2 = .8
P1C 0 A¿ ¨ B 2 = .7P1C 0 A ¨ B¿ 2 = .6
P1C 0 A¿ ¨ B¿ 2 = .3
Â
b.   What is the probability that the next customer
lls the tank?Construct a tree diagram consisting of rst-,
second-, and third-generation branches and place
an event label and appropriate probability next to each branch.
a.   Compute P(A n B n C ).
b.   Compute P(B n C ).
c.    Compute P(C ).
Â
d.   Compute P1A 0 B ¨ C 2 , the probability of a pur- chase of U.S. tires given that both balancing and an alignment were requested.
Answers
Status NEW
Posted 18 May 2017 12:05 PM
My Price 10.00
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