Question

Find each of the following probabilities. Provide your answers to 4 decimal places.

P(0 ≤ z ≤ 1.5) =

P(z ≥ 2)=

P(z ≤ 1.5)=

P( -1 ≤ z ≤ 1)=

P( z ≥ - 1)=

Answer 1

Solution :

Using standard normal table,

P( 0 z 1.5) = P(z 1.5) - P(z 0) = 0.9332 - 0.5 = 0.4332

P(z 2) = 1 - P(z 2) = 1 - 0.9772 = 0.0228

P(z 1.5) = 0.9332

P(-1 z 1) = P(z 1) - P(z -1) = 0.8413 - 0.1587 = 0.682

P(z -1) = 0.1587