Consider the random variable z that has a standard normal probability distribution, that is z is N(μ=0,σ=1) or N(0,1).

To the right, draw a sketch of the probability distribution of the random variable z in which you identify the mean of the distribution and label the horizontal axis with values of -2, -1, 0, 1, 2.
In the above sketch, shade the area indicating P(z ≤ 1), and using the appropriate table find and report the value of this probability.
Find and report P(z < 1).
To the right, sketch the distribution of z, shade the area representing P(0 ≤ z ≤ 1), and find and report this probability.
To the right, sketch the distribution of z, shade the area representing P(z > 1), and find and report this probability.
To the right, sketch the distribution of z, shade the area representing P(z < -1), and find and report this probability.
To the right, sketch the distribution of z, shade the area representing P(-1.00 < z < 1.00), and find and report this probability
To the right, sketch the distribution of z, shade the area representing P(-2.00 < z < 2.00), and find and report this probability.
Sketch the distribution of z, shade the area representing P(-3.00 < z < 3.00), and find and report this probability.
To the right, sketch the distribution of z, shade area representing P(-0.51 < z < 1.23), and find and report this probability.