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About Scott A Wilson
Expertise
I can answer any question in general math, algebra, complex mathematics, trigonometry, pre-calculus, probability, statistics, ... is there an end to this list?

Experience
Experience in the area; I have tutored people over the years in algebra, basic math, and statistics. I worked at The Boeing Company for over 5 years. Education/Credentials: MS degreee in Mathematics from Oregon State Univeristy; taken well over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors. Past/Present Clients: College Students at OSU, various math people since college, over 700 people in math and calculus.
 
   

You are here:  Experts > Science > Mathematics > Advanced Math > Probability and Statistics

Topic: Advanced Math



Expert: Scott A Wilson
Date: 5/16/2008
Subject: Probability and Statistics

Question
An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city. A person who plans to purchase one of these new cars wrote the manufacturer for the details of the tests, and found
out that the standard deviation is 3 miles per gallon. Assume that in-city mileage is approximately normally distributed.

1.  What is the probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving?

2. What is the probability that the person will purchase a car that averages between 25 and 29 miles per gallon for in-city driving?

Answer
1. Take the average minus the mileage.  Divide the result by the standard deviation and look up the value on a normal distribution table.

2. For both 25 and 29, subtract off the average.  Divide both values by the standrad deviation and you will get z1 and z2, respectively.  Look up values for z2 minus the value for z1.


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