# Math Help - Normal distribution

1. ## Normal distribution

I've done these type of questions before, but haven't touched it for a year and I forgot about it.. so can someone recall my memories ?

Question:
Many residents of suburban neighbourhoods own more than one car but consider one of their cars to be the
main family vehicle. The age of these family vehicles can be modelled by a Normal distribution with mean
2 years and standard deviation 6 months.

a) Approximately what percentage of family vehicles is between 1 and 3 years old?

b) What is the standardised value for a family vehicle that is 3 years and 3 months old?

Show working for me, so I understand how it's done! Argh, so frustrating

2. If the car is 1 year old, it is 2 standard deviations away from the mean (2 x 6 months = 1 year, mean = 2 years, 2 - (2 * 6 months = 1 year) = 1 year.

The same goes for 3 years old, just with the deviation on the other side.

3. Think back to the formula for a standardized test statistic.
$test statistic = (statistic - param)/standard deviation$

So if you are looking for z, and you have the mean of the sample x-bar, the mean of the population mu, and the standard deviation, it should be as simple as plugging these values into the formula.

4. Sorry people, I'm really lost here.. can you please explain in more details?

By the way.. what's param?