the average score on a standardized test is 500 points with a standard deviation of 50 points. what is the probability that a student scores more than a 400 on the standardized test

Question

anonymous · Answer

We assuming this is a normal distribution?

anonymous · Answer

If so, are you using z-tables or something to calculate?

anonymous · Answer

i have no idea how to do it at all. and yes assuming it is normal distribution

anonymous · Answer

Well you have to tell me what you're using to calculate normal distribution stuff

anonymous · Answer

z-ta

anonymous · Answer

ok

anonymous · Answer

So what is 0 in the z table?

anonymous · Answer

is it 0.5, 0, or what?

anonymous · Answer

I'm asking because different books have different calibrations of the z table.

anonymous · Answer

First you want the z-score

anonymous · Answer

$$
z = \frac {x-\mu} \sigma
$$

anonymous · Answer

In this case: $$
\mu = 500\text{ the mean}\
\sigma = 50\text{ the standard deviation}\
x=400 \text{ some target data point}
$$