Question

The probability that a car has a certain factory defect is 0.32. The probability that a car has a certain factory defect and needs an oil change is 0.14. What is the probability that a car needs an oil change given that it has a certain factory defect?

Round your answer to three decimal places.

Answer #1

the probability that a car has a certain factory
defect is 8/25. the probability that a car has a cartain factory
defect and needs an oil change is 7/50. what is the probability
that a car needs an oil change given that it has a certain factory
defect?

A certain system can experience three different types of
defects. Let Ai (i = 1,2,3) denote the
event that the system has a defect of type i. Suppose that
the following probabilities are true.
P(A1) =
0.11
P(A2) =
0.07
P(A3) = 0.05
P(A1 ∪
A2) = 0.15
P(A1 ∪
A3) = 0.14
P(A2 ∪
A3) = 0.1
P(A1 ∩
A2 ∩ A3) = 0.01
(Round your answers to two decimal places.)
(a) Given that the system has a type...

The defect length of a corrosion defect in a pressurized steel
pipe is normally distributed with mean value 28 mm and standard
deviation 7.8 mm.
(a)
What is the probability that defect length is at most 20 mm?
Less than 20 mm? (Round your answers to four decimal places.)
at most 20mmless than 20mm
(b)
What is the 75th percentile of the defect length
distribution—that is, the value that separates the smallest 75% of
all lengths from the largest 25%?...

A certain system can experience three different types of
defects. Let Ai (i = 1,2,3) denote the
event that the system has a defect of type i. Suppose that
the following probabilities are true.
P(A1) = 0.11
P(A2) = 0.06
P(A3) = 0.04
P(A1 ∪
A2) = 0.14
P(A1 ∪
A3) = 0.13
P(A2 ∪
A3) = 0.08
P(A1 ∩
A2 ∩ A3) = 0.01
(Round your answers to two decimal places.)
(a) Given that the system has a type...

Of the automobiles produced at a particular plant, 40% had a
certain defect. a. What is the probability that more than 50 cars
will need to be inspected before one with the defect is found? b.
What is the probability that the twentieth car inspected will have
a defect? c. Suppose a company purchases five of these cars. What
is the probability that exactly one of the five cars has a
defect?

The probability of a manufacturing defect in an aluminum
beverage can is .00007. If 100,500 cans are produced, find the
following probabilities.
(a)
At least six defective cans. (Round your answer to 4
decimal places.)
Probability
(b)
At least seven defective cans. (Round your answer to 4
decimal places.)
Probability
(c)
Is the Poisson approximation justified?
No
Yes

If car owner visits
his car mechanic ,the probability that the mechanic tune engine is
0.44 ,change oil is 0.24 ,clean radiator is 0.21.The probability he
tunes engine and change oil is 0.08 ,the probability that he tunes
engines and cleans radiator is 0.11;and the probability he changes
oil and cleans radiator is 0.07.The probability he performs all
three events of tuning engine, changing oil and clean radiator is
0.03.What is the probability that a car owner visits mechanic and...

The time it takes to assemble a car in a certain
factory is normally distributed with a mean of 20 hours and a
standard deviation of 2 hours. [Probability =
percent]
What is the probability that a car can be assembled in
less than 19.4 hours?
What is the probability that a car can be assembled
between 20 and 22 hours?
What is the probability that it will take more than 23
hours to assemble a car?
What is the...

The time it takes to assemble a car in a certain factory is
normally distributed with a mean of 20 hours and a standard
deviation of 2 hours. [Probability = percent] (a) What is the
probability that a car can be assembled in less than 19.4 hours?
(b) What is the probability that a car can be assembled between 20
and 22 hours? (c) What is the probability that it will take more
than 23 hours to assemble a car?...

Part 1
The three most popular options on a certain type of new car are
a built-in GPS (A), a sunroof (B), and an automatic transmission
(C). If 48% of all purchasers request A, 59% request B, 74% request
C, 68% request A or B, 85% request A or C, 83% request B or C, and
90% request A or B or C, determine the probabilities of the
following events. [Hint: "A or B" is the event that at least...

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