Standard Normal Distribution

Random variable X ~ N(m =0,s =1). Challenge yourself to calculate the below without using R. It would help to draw the curve on paper and mark the probability regions based on the properties of the normal curve. You don't need to submit your drawing in the homework.

• Calculate P(X 0) (1 point)

pnorm(0, mean=0, sd=1, lower.tail=TRUE)

0.5

50%

• Calculate P(-1 X 1) (1 point)

• Calculate P(0 X 2) (1 point)

• Calculate P(-3 X -1) (1 point)

• Calculate P(-2 X 3) (1 point)