Ask your own question, for FREE!
Mathematics 9 Online
OpenStudy (katecc379):

A car is designed to last an average of 12 years with a standard deviation of 0.8 years.

OpenStudy (evoker):

Yes what is your question?

OpenStudy (katecc379):

What is the probability that a car will last less than 10 years?

OpenStudy (evoker):

ok you need to calculate a z and then look up on a z table.

OpenStudy (katecc379):

what

OpenStudy (katecc379):

how do i do it

OpenStudy (evoker):

The z formula is you take the (value-mean)/standard deviation.

OpenStudy (katecc379):

would the mean be 12?

OpenStudy (katecc379):

so 12/.8

OpenStudy (evoker):

no (10-12)/.8

OpenStudy (evoker):

Yes the mean would be 12

OpenStudy (evoker):

But 10 is what you are interested in.

OpenStudy (katecc379):

so -2.5?

OpenStudy (katecc379):

@Evoker

OpenStudy (katecc379):

what next

OpenStudy (evoker):

Ok, now look up on a z table, your book probably has one in it which tells you the probability of a value being less than or equal to a z of -2.5

OpenStudy (katecc379):

okay but then which column do you look up

OpenStudy (katecc379):

none of the values are any of the answer choices

OpenStudy (evoker):

Hmm let me find a table

OpenStudy (evoker):

I see .0062 or .62% chance

OpenStudy (katecc379):

thats none of the options

OpenStudy (evoker):

Hmm strange that should be correct.

OpenStudy (evoker):

What options do you have out of curiosity

OpenStudy (katecc379):

0.621% 6.21% 93.79% 99.379%

OpenStudy (katecc379):

@Evoker

OpenStudy (katecc379):

so a maybe?

OpenStudy (evoker):

That is the first answer

OpenStudy (evoker):

yeah just not to the same level of precision.

OpenStudy (katecc379):

okay

OpenStudy (katecc379):

okay i thought so the 1 kinda threw me off

OpenStudy (evoker):

It depends on what table you use, your text must have a z table with more precise results.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!