Computing Normal Probability

 

Automobile repair costs continue to rise with the average cost now at $367 per repair. Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. Answer the following questions:

What is the probability that the cost will be more than $450?
What is the probability that the cost will be less than $250?
What is the probability that the cost will be between $250 and $450?
If the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost?

 

Sample Solution

The cost of an automobile repair is assumed to be normally distributed with a standard deviation of $88. This means that the probability distribution follows the bell curve pattern, which will help us answer our two questions regarding the cost being more than $450 and less than $250. To calculate both probabilities, we can use the z-score formula; this formula uses the average value, standard deviation and x value (the number you are trying to find) to determine how many standard deviations away from the mean our x value is located on a normal distribution graph.

For our first question regarding the cost being more than $450, we can calculate this by finding out what z score corresponds to 450 dollars when compared to an average cost of 367 dollars and a standard deviation of 88. When plugged into our formula we get +1.03 as our z score; this means that if we plot 450 on a normal distribution graph it would be one full standard deviation above its mean at 367 dollars (Environmental Systems Research Institute). We can then convert this into probability by using a table or calculator which shows us that there is only about 16% chance that an automobile repair will cost more than 450 dollars.

For our second question concerning if there is less than 250 dollar repair costs, the same formula yields -2 as our z score; meaning 250 lies two full standard deviations below 367 on a normal curve (Environmental Systems Research Institute). If we convert this into percentage form using tables or calculators again, it comes out to about 2.3% for all repairs costing less than 250 dollars. Together these percentages help paint overall picture of expected costs associated with car repairs by showing us where certain amounts lie along their relative distributions in relation to each other.

His translation is by his own comprehension and not of the real mainland. Would Asia find his portrayal of a female holding a lotus blossom, with a tiger a lovely meaning of their whole landmass. Will Africa see his truly intending that out of the relative multitude of sculptures their female portrayal is topless and seems resting. The area of every sculpture seems to characterize how every landmass was seen, is this because of how Americans saw themselves including what might seem their European accomplices. Europe’s sculptures appears of sovereignty when the area of these figures are situated in a recreation area which was once owed by the very Ruler that America battled to acquire it’s opportunity and who vandalized by eliminating the crowns off the wall which are as yet seen today. At long last we have America who stands conspicuously prepared to participate in any fight as what might turn into America’s genuine position, prepared immediately. Obviously America, it’s specialty and individuals perceived themselves as the one genuine prevalence and every other person was sub-par.

Suggestion: (Remain, Eliminate, Re-contextualize)
The sculptures can stay with one besides of re-contexualizing the model decided to address America. In the event that we decide to keep the sculpture the way things are, there ought to be a plaque introduced to add more verifiable setting of America’s contribution and treatment of Local Americans. I recommend an upgrade evacuation of the whole Public Exhibition hall of Native American. Local American in the present society shouldn’t need to visit a site that addresses a verifiable piece of their reality and American history and feel distressed gazing upward and see Christophe Columbus. All the more critically one adaptation has proactively been systematized for a really long time enhanced by the activities in trustworthy of racial prevalence, it is far time for more extra happy zeroing in on the relational part of Local American history, culture and experience told proudly notwithstanding the convoluted organization previously worked inside the Joins States.

Experience and Bits of knowledge (utilizing the scientif

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