Emanuel surveyed a random sample of 505050 subscribers to Auto Wheel magazine about the number of cars that they own. Of the sub
1 answer:
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So hmm is a geometric sequence, meaning, the next term is found by multiplying it by "something", namely the "common ratio"
now, if the next term is the product of the common ratio and the previous term, that means, if we divide the previous term by the next term, the quotient will then be the "common ratio", let's do that then
let's divide the 2nd term by the 1st term then
now, if the next term is the product of the common ratio and the previous term, that means, if we divide the previous term by the next term, the quotient will then be the "common ratio", let's do that then
let's divide the 2nd term by the 1st term then
The empirical rule says that about 68% of any normal distribution lies within one standard deviation of the mean. This leaves 32% of the distribution that lies outside this range, with about 16% to either side.
At the 16th percentile, there is a value of
such that
where
is the standard deviation for the distribution, and 
is the random variable corresponding to the standard normal distribution. This value of 
would correspond roughly to a z-score of 
.
You're told that
lies at the 15th percentile, so that
Roughly, then, it'd be fair to say that
. So you have
which falls between (A) and (B). To narrow down the choice, notice that would have be slightly larger than 340 in order to have 
. This brings closer to the mean, and thus suggests the standard deviation for the distribution is actually smaller than our approximation.
This tells us that (A) is the answer.
At the 16th percentile, there is a value of
where
You're told that
Roughly, then, it'd be fair to say that
which falls between (A) and (B). To narrow down the choice, notice that
This tells us that (A) is the answer.
