Determine the following probabilities for the standard norma

Determine the following probabilities for the standard normal random variable Z.
a) P(-1<Z<1)

b) P(-2<Z<2)

c) P(-3<Z<3)

d) P(Z>3)

Solution

From Normal distribution table we get the probabilities as folllows

a) P( -1<Z<1) = 0.6827

b) P(-2<Z<2) = 0.9545

c) P(-3<Z<3) = 0.9973

d) P(Z>3) = 0.00135