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Answer:
It is not advisable to buy the vehicle.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12,494 miles
Standard Deviation, σ = 1290 miles
We are given that the distribution of 1290 miles is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
P(driven less than 6000 miles in the past year)
[tex]P( x < 6000) = P( z < \displaystyle\frac{6000 - 12494}{1290}) = P(z < -5.0341)[/tex]
Calculation the value from standard normal z table, we have,
[tex]P(x < 6000) = 0[/tex]
Thus, we cannot find a vehicle that it had been driven less than 6000 miles in the past year. It is not advisable to buy the vehicle.
No, you do not have to buy a vehicle if you had been told that it had been driven less than 6000 miles in the past year and this can be determined by using the formula of z-score.
Given :
- The mean is 12,494 miles.
- The standard deviation of 1290 miles.
The following steps can be used in order to determine whether you have to buy a vehicle or not:
Step 1 - The formula of z-score can be used in order to determine whether you have to buy a vehicle or not.
Step 2 - The z-score formula is given below:
[tex]\rm z = \dfrac{x-\mu}{\sigma}[/tex]
Step 3 - Substitute the known terms in the above expression.
[tex]\rm z = \dfrac{6000-12494}{1290}=-5.0341[/tex]
Step 4 - Now, the p-value is given below:
[tex]\rm P(x < 6000)=P(z<-5.0341)[/tex]
Step 5 - Now, using the z table the value of P is:
P(x < 6000) = 0
No, you do not have to buy a vehicle if you had been told that it had been driven less than 6000 miles in the past year.
For more information, refer to the link given below:
https://brainly.com/question/13299273
