(If necessary, consult a list of formulas.) P(a|N) - P(W) - [O P(N n n) - (N n )- O 0.4 04 (N n ) - O 025 (Nn)- 0 What is the probablity that a randomly chosen car required n brake repairs?

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O PROBABILITY
Tree diagrams for conditional.
Ed's Tires and Brakes has two locations, one on the northwest side of town
and one
the southeast side of town. At both locations are performed
routine tire repairs and rotations, as well as expensive brake repairs. This
past week, 75% of the cars serviced at Ed's were serviced at the northwest
location, while 25% of the cars were serviced at the southeast location. (No
car was serviced at both locations.) Brake repairs were more typical at the
northwest location than at the southeast location: 60% of the cars at the
northwest location required brake repairs, while 40% of the cars at the
southeast location required brake repairs.
Let v denote the event that a randomly chosen car (taken to Ed's in the
past week) was serviced at the northwest location and v denote the event
that a randomly chosen car was serviced at the southeast location. Let B
denote the event that a randomly chosen car required brake repairs and B
denote the event that a randomly chosen car did not require brake repairs.
Fill in the probabilities to complete the tree diagram below, and then
answer the question that follows. Do not round any of your responses.
(If necessary, consult a list of formulas.)
P(8|N) -
P(N n B) -
P(N) - [O
P(N n ) -
P(7|x) -
0.4
P(8|w) -
0.4
P(N n 8) - 0
P(N) - 025
P(N n 3) - 0
P(G|) -
What is the probability that a randomly chosen car required n
brake repairs?
Explanation
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Transcribed Image Text:8:05 AA www-awn.aleks.com O PROBABILITY Tree diagrams for conditional. Ed's Tires and Brakes has two locations, one on the northwest side of town and one the southeast side of town. At both locations are performed routine tire repairs and rotations, as well as expensive brake repairs. This past week, 75% of the cars serviced at Ed's were serviced at the northwest location, while 25% of the cars were serviced at the southeast location. (No car was serviced at both locations.) Brake repairs were more typical at the northwest location than at the southeast location: 60% of the cars at the northwest location required brake repairs, while 40% of the cars at the southeast location required brake repairs. Let v denote the event that a randomly chosen car (taken to Ed's in the past week) was serviced at the northwest location and v denote the event that a randomly chosen car was serviced at the southeast location. Let B denote the event that a randomly chosen car required brake repairs and B denote the event that a randomly chosen car did not require brake repairs. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. (If necessary, consult a list of formulas.) P(8|N) - P(N n B) - P(N) - [O P(N n ) - P(7|x) - 0.4 P(8|w) - 0.4 P(N n 8) - 0 P(N) - 025 P(N n 3) - 0 P(G|) - What is the probability that a randomly chosen car required n brake repairs? Explanation Check Terms of Use PrivacyI Accessibility
Expert Solution
Step 1

Given that 75% of the cars serviced at Ed's were serviced at the northwest location and 25% at the southeast location.

At the northwest location 60% cars required brake repairs and at the southeast location 40% cars required brake repairs.

 

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