Can you please answer and explain the reasoning behind the answers to these problems.

(13 A standard normal variable has a mean of zero and a variance of 1 ie. Z "' N{0, 1). SKETCH THE AREA and find the following probabilities: 1. P(Z $1.25) 2. P(Z $1.25) 3. P(.38 g z $.25) Q4 A standard normal variable has a mean of zero and a variance of 1 ie. Z ~ MO, 1). SKETCH THE AREA and find the following 2 that fulfills the probability: 1. P(ZSZ) = 0.1 2. P(ZZzorZS-z)=0.1 3. At what value of z, the area to the right is 2.5%? 4. At what value of z, the area between 2 and z is 68%