Find the following probabilities for a standard normal rando

Find the following probabilities for a standard normal random variable Z.

Solution

a) P(0<Z<0.8) =0.2881

Use NORMSDIST function in excel and subtract with 0.5.

b) P(-1.1<Z<0)=0.36433

c) P(0.5<Z<1.87)=0.9692-0.6914=0.2777

Use NORMSDIST function for both the values and subtract the answers.

d) P(-1.1<Z<1.1)=0.8643-0.1356=0.7286

e) P(-0.8<Z<1.9)=0.9712-0.2118=0.7594