You are given that a continuous random variable X is Normal/Gaussian with
µ
= 2 and  s^2= 4. a) Write a mathematical expression for the probability density function (pdf) of X. Write the...

You are given that a continuous random variable X is Normal/Gaussian with
µ
= 2 and
 s^2= 4.

a) Write a mathematical expression for the probability density function (pdf) of X.
Write the cumulative density function (cdf). Include actual numbers.

b) What is the probability that X is greater than 4 [P{X > 4}]? What is the probability
that X is less than 1 [P{X < 1}]?="" show="" your="" work.="" hint:="" drawing="" a="" rough="" sketch="" of="">
Gaussian pdf may be helpful in checking your answers.

c) Determine P{1 ≤ X ≤ 4}. Show your work.