The equation for a general normal curve with mean μ and standard deviation σ is

Question

y =
e−(x − μ)2/(2σ2)
σ

2π
.
Calculate values for x = 20, 30,

, 70, 80 where μ = 50 and σ = 10. Note that setting
μ = 0
and
σ = 1
in this equation gives the equation for the standard normal curve. (Round your answers to four decimal places.)

Answer 1

I think you mean
if Z = 1 / sqrt(2 pi sigma^2)
then
y = Z e^-(x-u)^2/(2 sigma^2)
=========================
for example if sigma = 10 and u = 50
for x = 20
Z = 1/sqrt(2 pi *100) = 1/sqrt 628 = 1/25.1 = 0.0398
y = 0.0398 e^-[( 30^2)/(200)]
y = 0.0398 e^-[4.5]
y = 0.0398 * 0.111
y = 0.000442
check my arithmetic