Nicole missed the lesson on normal distribution and needs to do her homework. Explain to Nicole how to use the mean and standard deviation of a normal distribution to determine the top 5% of the population.

Question

sidsiddhartha · Answer

ok do u have the z-chart with u?

anonymous · Answer

whoops, z chart?

sidsiddhartha · Answer

here 
$$\phi[\frac{ x-\mu }{ \sigma }]=1-0.05=0.95$$
so
$$\frac{ x-\mu }{ \sigma }=\phi(0.95)$$
so u need to substitute the z-score of 0.95 here

anonymous · Answer

oh okay so that's all i have to do?

sidsiddhartha · Answer

yeah that'll be all
after that u just have to put the values of $$\mu ,\sigma$$

anonymous · Answer

so what formula is that called?

sidsiddhartha · Answer

uhh u can call it normal distibution formula
where$$\mu=mean$$and
$$\sigma=standard. deviation$$

anonymous · Answer

oh thanks so much

sidsiddhartha · Answer

np :)