Question

Let Z be the standard normal random variable. Find P(Z > 2.15)

P(0.25< Z < 1.77)

Answer 1

$P(Z>2.15) = 1 -P(Z<2.15) \\ =1 -0.9842 \\ = 0.0158 \\ P(0.25<Z<1.77) = P(Z<1.77) -P(Z<0.25) \\ = 0.9616 -0.5987 \\ = 0.3629$