Mathematics
9 Online
OpenStudy (katecc379):
A car is designed to last an average of 12 years with a standard deviation of 0.8 years.
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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
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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
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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
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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
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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?
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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.