MATHEMATICS COLLEGE

At a certain car dealership, 20% of customers who bought a new vehicle bought an SUV, and 3% of them bought a black SUV (that is 3% of customers bought a vehicle that was an SUV and in black color). Given that a customer bought an SUV, what is the probability that it was black?

Answers

Answer 1

Answer:

Answer: 0.15

Step-by-step explanation:

As per given , the probability that customers who bought a new vehicle bought an SUV : P(SUV) = 0.20

The probability that customer bought a vehicle that was an SUV and in black color : P(SUV and black) =0.03

Now by suing conditional probability formula,

If we have given that a customer bought an SUV, then the probability that it was black will be :

$\text{P(Black}|\text{SUV})=\frac{\text{P(SUV and Black)}}{\text{P(SUV)}}$

$=(0.03)/(0.20)=(3)/(20)=0.15$

Hence, the required probability is 0.15.

Answer 2

Answer:

The probability that a customer who bought an SUV also bought a black SUV is 0.006, or 0.6% (expressed as a percentage).

To find the probability that a customer who bought an SUV also bought a black SUV, you can use conditional probability.

Let's define the following events:

A: A customer bought an SUV.

B: A customer bought a black SUV.

You are given that P(B|A) is the probability that a customer who bought an SUV also bought a black SUV, which is 3% or 0.03.

You want to find P(B|A), the probability that a customer who bought an SUV also bought a black SUV. You can use the following formula for conditional probability:

P(B|A) = (P(A and B)) / P(A)

Here, P(A and B) is the probability that a customer bought both an SUV and a black SUV, and P(A) is the probability that a customer bought an SUV.

You know that P(B|A) = 0.03 and P(A) = 0.20.

Now, you need to find P(A and B), the probability that a customer bought both an SUV and a black SUV. You can rearrange the formula:

P(A and B) = P(B|A) * P(A)

P(A and B) = 0.03 * 0.20

P(A and B) = 0.006

for such more question on probability

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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters, and a variance of 49. If a random sample of 34 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 1.8 millimeters

Answers

The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is approximately 0.0668.

What is the standard deviation?

A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.

The standard deviation of the population is $√(49) = 7$ millimeters. The standard error of the sample mean is then

$(7)/(√(34)) = (7)/(5.874) \approx 1.2$ millimeters.

The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is the probability that it falls outside of the interval $(139 - 1.8, 139 + 1.8)$ . We can use the standard normal distribution to approximate this probability.

First, we need to convert the difference between the sample mean and the population means to standard units.

The difference of 1.8 millimeters is :

$(1.8)/(1.2) = 1.5$ standard units.

Then, we can use the standard normal distribution to find the probability that the sample mean falls outside of this interval.

This probability is equal to $1 - 2\Phi(-1.5) \approx 0.0668$ ,

where $\Phi$ is the standard normal cumulative distribution function.

Therefore, the required probability is approximately 0.0668.

Learn more about the standard deviation here:

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Which statement describes this system of equations?
9x – 6y = 15,
3x – 2y = 5

Answers

This system of equation has an infinite number of solutions.

You can tell this because multiplying one equation by a constant gives you exactly the other equation. You can multiply the second equation by 3.

9x - 6y = 15

5(3x - 2y = 5) = 9x - 6y = 15

When this happens, you can assume that there are an infinite number of solutions.

Answer:

1) The equations in the system are equivalent equations.

2) There is no solution to the system of equations.

3) The system of equations has one solution at (3, 2).

4) The system of equations has one solution at (5, 5).

Answer = 1

Step-by-step explanation:

I just did the assignment

(-2x) (x-3) answer please

Answers

Answer:

−2x^2+6x

Explanation:

You just have to distribute meaning you have to multiply -2x to the equation.

Need help ASAP What’s the area of a sum

Answers

I believe the answer to you question is going to be 33x^2-50x+8.

Hope this helps!!:))

The answer is C.) or the third one

Danielle has a crate of books in four different genres: fantasy, nonfiction, thrillers, and romance. She randomly picks a book from the crate and replaces it. She repeats this experiment 60 times and gets the results shown in the table.Book Genre Times Picked

fiction 12

nonfiction 18

thriller 24

romance 6

Which genre of book does Danielle likely have the most of?