Question

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.

Answer 1

ok do u have the z-chart with u?

Answer 2

whoops, z chart?

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

so what formula is that called?

Answer 7

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

Answer 8

oh thanks so much

Answer 9

np :)