find the probability p(-1.14 < z < 1.01)

Question

using the normal standard distribution

Answer 1

Look up a standard normal distribution table, or use the following link:
http://www.math.unb.ca/~knight/utility/NormTble.htm

The left-tail probability
P1=P(< -1.14σ) = 0.1271
and the left-tail probability
P2=P(< +1.01σ) = 0.8438

So
P(-1.14σ < z < 1.01σ)=P2-P1