Posted by **Laura** on Monday, July 9, 2012 at 9:49pm.

You invent a new system to make excellent racing tires for the Indianapolis 500/ Your tires are good for an average of 105 miles, with a standard deviation of 7.5 miles. What is the probability that one of your tires can go for at least 44 laps? What is the probability that one of your tires will fail before the end of 36 laps?

- Math - Probability -
**Reiny**, Monday, July 9, 2012 at 10:37pm
How far is a lap?

- Math - Probability -
**Lindsey**, Monday, July 9, 2012 at 10:47pm
One lap is 2.5 miles.

Sorry, meant to include that before.

- Math - Probability -
**Reiny**, Monday, July 9, 2012 at 10:53pm
so 44 laps = 44(2.5) or 110 miles

36 laps = 90 miles

enter your values in

http://davidmlane.com/hyperstat/z_table.html

enter 110 for 44 laps in "above" ---> .2525

enter 90 and click on "below" ------> .02275

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