The probability that the car is repaired under budget, on time, and with company D, we need to multiply the individual probabilities together. The probability that the cost of repair exceeds the estimate can be found by subtracting the probability of the cost being under budget from 1. The probability that the car is repaired under budget, given that it is ready on time, can be calculated using conditional probability.
The probability that the car is repaired under budget, on time, and with company D, we need to consider the probability of each event happening individually.
Let's assume that P(D) is the probability of taking the car to shop D, P(T) is the probability of the work being completed on time, and P(B) is the probability of the cost being under budget.
We're asked to find P(D ∩ T ∩ B), which represents the probability of all three events happening simultaneously.
To find this probability, we can multiply the individual probabilities together.
Let's say P(D) = 0.6, P(T) = 0.7, and P(B) = 0.8. Then, P(D ∩ T ∩ B) = P(D) * P(T) * P(B) = 0.6 * 0.7 * 0.8 = 0.336.
To find the probability that the cost of repair exceeds the estimate, we need to consider the complement of event B.
P(not B) represents the probability of the cost being greater than the estimate.
To find this probability, we subtract P(B) from 1.
Let's say P(B) = 0.8. Then, P(not B) = 1 - P(B) = 1 - 0.8 = 0.2.
The probability that the car is repaired under budget, given that it is ready on time, we need to find the conditional probability P(B|T).
This can be calculated using the formula P(B|T) = P(B ∩ T) / P(T).
Let's assume that P(B ∩ T) = 0.5. Then, P(B|T) = P(B ∩ T) / P(T) = 0.5 / 0.7 = 0.7143.
The probable question may be:
After a minor collision, a driver must take his car to one of two body shops in the area.
Consider the following events.
D = driver takes his car to shop D
L = driver takes his car to shop L
T = the work is complete on time
B = the cost is less than or equal to the estimate (under budget)
What is the probability that the car is repaired under budget, on time, and with company D?
(Use decimal notation. Give your answer to four decimal places.) probability:
What is the probability that the cost of the repair exceeds the estimate? (Use decimal notation.
Give your answer to four decimal places.)
probability:
What is the probability that the car is repaired under budget, given that it is ready on time?
(Use decimal notation. Give your answer to four decimal places.) probability: