Question

Automobile repair costs continue to rise with the average cost now at $367 per repair. Assume that the cost for an automobile repair has a standard deviation of $88. Answer the following questions about the cost of automobile repairs. What is the probability that the cost will be more than $450

Answer 1

Answer:

it will be more

Step-by-step explanation:

because ur just adding to see how much it is so they can pay for it i really hope this helped if it did

Answer 2

Answer:

17.36% probability that the cost will be more than $450

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$, the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 367, \sigma = 88$

What is the probability that the cost will be more than $450

This is 1 subtracted by the pvalue of Z when X =  450. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{450 - 367}{88}$

$Z = 0.94$

$Z = 0.94$ has a pvalue of 0.8264

1 - 0.8264 = 0.1736

17.36% probability that the cost will be more than $450